Question

stephanie and jenny each improved their yards by planting rose bushes and geraniums. they bought their supplies from the same store. stephanie spent $148 on 13 rose bushes and 1 geranium. jenny spent $169 on 9 rose bushes and 14 geraniums. find the cost of one rose bush and one geranium.

Answer 1

The cost of one rose is $11., and the cost of one geranium is $5.

Explanation:

The cost of one rose bush and one geranium can be determined by the use of simultaneous equation. Let the cost of a rose bush be represented by x, and the cost of one geranium by y.

So that,

13x + y = 148 .............. 1

9x + 14 y = 169 ............... 2

From eqaution 1,

y = 148 - 13x ............... 3

substitute the value of y in equation 2

9x + 14(148 - 13x) = 169

9x + 2072 - 182x = 169

2072 - 169 = 182x - 9x

1903 = 173x

x =
`(1903)/(173)`

= 11

x = 11

substitute the value of x in equation 3

y = 148 - 13x

= 148 - 13(11)

= 148 - 143

y = 5

x = 11, y = 5

Thus, the cost of one rose is $11., and the cost of one geranium is $5.