victor are 60 de lei si merge la florarie pentru a-i cumpara mamei sale un buchet de flori. daca ar cumpara 9 garoafe si 4 trandafiri, ar plati 47 de lei. daca ar cumpara doar trandafiri, toti banii i-ar ajunge pentru 12 bucati. insa el cumpara 13 flori (garoafe si trandafiri) si ramane cu 5 lei rest, cate garoafe si cati trandafiri a cumparat victor?

Answers

Answer 1

Answer:

Număr de trandafiri = x = 5 trandafiri

Numărul este garoafe = y = 8 garoafe

Step-by-step explanation:

Pasul 1

Să reprezentăm:

Costul garoafelor = c

Costul trandafirilor = r

Victor are 60 de lei și merge la florărie să-i cumpere mamei sale un buchet de flori.

Dacă ar cumpăra 9 garoafe și 4 trandafiri, ar plăti 47 de lei.

Prin urmare,

9c + 4r = 47 ..... Ecuația 1

Dacă ar cumpăra doar trandafiri, toți banii ar fi suficienți pentru 12 bucăți.

Prin urmare,

12 trandafiri = 60 lei

1 trandafir = r lei

Cross Multiply

12r = 60 lei

r = 60 lei / 12

r = 5 lei

1 trandafir costă 5 lei

Înlocuim 5 cu r în ecuația 1

9c + 4 × 5 = 47

9c + 20 = 47

Colectează ca termeni

9c = 47 - 20

9c = 27

c = 27/9

c = 3 lei

Costul unei garoafe este de 3 lei

Pasul 2

Dar cumpără 13 flori (garoafe și trandafiri) și rămâne cu 5 lei rămași,

60 lei - 5 lei = 55 lei

Asta înseamnă că a cheltuit 55 de lei pe 13 flori.

Lasă

Număr de trandafiri = x

Numărul este garoafe = y

x + y = 13 ......... Ecuația 1

x = 13 - y

Din moment ce, Costul unei garoafe = 3 lei și 1 trandafir = 5 lei

3x + 5y = 55 ...... Ecuația 2

Înlocuim 13 - y cu x în ecuația 2

3x + 5y = 55

3 (13 - y) + 5y = 55

39 - 3y + 5y = 55

Colectează ca termeni

- 3y + 5y = 55 - 39

2y = 16

y = 16/2

y = 8

Rezolvarea pentru x

x = 13 - y

x = 13 - 8

x = 5

Prin urmare:

Număr de trandafiri = x = 5 trandafiri

Numărul este garoafe = y = 8 garoafe


Related Questions

Solve liner equation for they variable
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Answers

Answer:

all numbers

Step-by-step explanation:

3x - 5(x + 6) = -2x -2(5 + 10)

Distribute on both sides.

3x - 5x - 30 = -2x - 10 - 20

Add 2x to both sides.

-2x - 30 = -2x - 30

-30 = -30

Since we get a true statement after only doing legal steps to solve the equation, the equation has an infinite number of solutions.

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Parker has $2,500 in her bank account that earns 3.8% interest annually. How much money will she have in her bank account after 4 years?

Answers

Answer:

$2,860

Step-by-step explanation:

2,500 * 3.8% = 90 in interest a year

so

90 * 4 = 360 in interest

add that to what she put in

2,860

Answer:

2880

Step-by-step explanation:

2,500divide100=25x3.8=380

2500+380

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Answers

Answer:

8

Step-by-step explanation:

40 ÷ 5 = 8

56 ÷ 7 = 8

so then just divide 64 by the one we know, which is 8

64 ÷ 8 = 8

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Answers

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2) m= -2 (1/2,0)

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B
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Answers

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Answers

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Answer is unavailable home right

Solve for x by factoring: x^2-30x+200=0

Answers

Answer:

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Step-by-step explanation:

Help Please 5 Stars and brainliest

The results of a study exhibit response bias. Select the statement that best describes the bias in the study. *

OThere were not enough subjects who chose to respond to a survey that was sent as part of the study.
O The interviewer for the study was the boss of the subjects.
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Answer:

the last one

Answer:

the answer is c

Step-by-step explanation:

Ok can someone please help me? i really need help and no one will help me, its easy middle school math

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Answer:

Step-by-step explanation:

7) A

8) D

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Answers

Answer:

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Step-by-step explanation:

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Tyler tried to solve an equation step by step
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Answers

Answer:

x = -10

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3x + 12 = -18

3x + 12 = -18

3x = -18-12

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x= -30/3

x = -10

Step-by-step explanation:

[tex]3(x + 4) = - 18 \\ (x + 4) = \frac{ - 18}{3 } \\ (x + 4) = - 6 \\ x = - 6 - 4 \\ x = - 10[/tex]

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Answers

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Step-by-step explanation:

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x = (square root)34

x= 5,8

Answer:

x = [tex]\sqrt{34}[/tex]

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

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Evaluate the following equation for x. 2/5x = −20

Answers

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Explanation:
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Question 5
3 pts
(6.03)
How many variable terms are in the expression 3x3y + 5x2 + y + 9? (Input a
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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

I don't understand this ​

Answers

Answer:

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Step-by-step explanation:

n=1/2 of 12 according to the rule:

right triangle the side opposite the 30 degree angle is half the length of the hypotenuse.

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Answers

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Step-by-step explanation:

Hope the gif loads to help you but if not thats the answer.

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Answers

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Step-by-step explanation:

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Step 2: Set factors equal to 0.

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Answer:

x= 4 /3  or x=2

 

Answer:

5/3 +/- 1/3

or

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or

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Step-by-step explanation:

plug all of the numbers into the formula attached,

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Answers

Answer:

Question 3: (D) All real numbers. Question 4: (B) y > 3.

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Answers

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Answers

Rectangle area = length * width
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Answers

Answer:

4/5 is grater than 45/100

Step-by-step explanation:

Why?

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20 does

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Answer:

4/5 is greater than 45/100.

Step-by-step explanation:

In order to figure it out, you need to make both fractions have common denominators. In order to do that, you figure out this:

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With fractions in this situation, whatever you do to the top, you have to do to the bottom. So, you multiply 4 times 20, which is 80.

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80/100 and 45/100.

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Please consider giving me brainliest if this helped you! :)

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Answers

Answer:

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Step-by-step explanation:

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True.

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False.

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True.

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Answers

1 1. 1
— x. — = —
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The sum or three consecutive odd numbers is 51. Find the numbers​

Answers

Answer:

let the three no. be x, x+2, x+4

so, x+x+2+x+4= 51

3x+6= 51

3x=45

x=15

hence the required numbers are

x=15

x+2= 17

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ILL GIVE BRAINLIST TO FIRST REAL ANSWER PLS HELP

what would the domain and range be

Answers

Answer:

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Step-by-step explanation:

The waiting time to ride a roller coaster is 1/3 of an hour when 150 people are in line. How
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Answers

Answer:

[tex] \frac{66}{125} [/tex]

hours

Hope it helped

PLS mark BRAINLIEST

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Answers

Answer:

the answer is C).1875 cm

Step-by-step explanation:

hope it helps bye!!

A sign says that the price marked on all music equipment is 30% off the original price. You buy an electric guitar for the sale price of $315.

Answers

Answer:

figure it out

Step-by-step explanation:

Answer:10 dollars and 50 cents

Step-by-step explanation:315 divided by 30

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