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Mary and Jose each bought plants from the same store. Mary spent $188 on 7 cherry trees
and 11 rose bushes. Jose spent $236 on 13 cherry trees and 11 rose bushes. Find the cost of
one cherry tree and the cost of one rose bush.
Cost of a cherry tree (x): 13.16
$188
Cost of a rose bush (y): 20.668
11 ruse
Cherry -
.
.


Sagot :

We are required to find the cost of each cherry tree and rose bushes.

The cost of each cherry tree, x is $8 and the cost of each rose bushes, y is $12

let

cost of each cherry tree = x

cost of each cherry tree = xcost of each rose bushes = y

The equation:

7x + 11y = 188 (1)

13x + 11y = 236 (2)

Subtract (1) from (2) to eliminate y

13x - 7x = 236 - 188

6x = 48

divide both sides by 6

x = 48 / 6

x = 8

substitute x = 8 into (1)

7x + 11y = 188 (1)

7(8) + 11y = 188

56 + 11y = 188

11y = 188 - 56

11y = 132

divide both sides by 11

y = 132 / 11

y = 12

Therefore, the cost of each cherry tree, x is $8 and the cost of each rose bushes, y is $12

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