Gordon and Aaron each go to the flower shop to buy roses and a vase. Gordon buys 8 roses and a vase, paying $39. Aaron buys 5 roses and the same type of vase, paying $30. What is the cost of each rose and each vase at the shop?

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samuelonum1 samuelonum1 · Answer 1 · 2022-03-09T09:42:56+01:00

The cost of Roses and vase purchased by Gordon and Aaron can be gotten by translating word problem to relatable mathematical expression

Rose cost $3 while vase cost $15 each

let roses be x

and vases be y

For Gordon, the expression mathematically is

8x +y = 39 -----------1

For Aaron, the expression mathematically is

5x + y = 30 ----------2

Let us solve 1 and 2 simultaneously

subtract 2 from 1

8x +y = 39

- 5x + y = 30

3x = 9

x= 9/3

x = 3

put x = 3 in equation 1 to find y

8(3) + y = 39 ----------1

24 + y = 39

y = 39-24

y = 15

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