Question

Use a system of equations to solve this problem

A florist is making a bouquet of carnations and roses. Carnations cost $0.80 each and roses cost $1.25 each
How many carnations and roses should be used to make a bouquet that costs $14.70 and contains 15 flowers ?

Answer 1

9 carnations, and 6 roses

Explanation:

Let x be the number of carnations in the bouquet.

This means the roses will be 15 - x, since both the carnations and the roses equal 15 flowers.

Write an equation:

.8x + 1.25(15-x) = 14.7

.8x + 18.75 - 1.25x = 14.7

.45x = 4.05

x = 9

This means there will be 9 carnations, and 6 roses.

Hope this helps!