Question

POSSIBLE POINTS: 3.23

A florist is making identical bridesmaid bouquets for a wedding. Each bouquet will cost $32 and must have 12 flowers. Roses cost $2.50 each, lilies cost $4.00 each, and irises cost $2.00 each. The florist wants twice as many roses as the other two types of flowers combined. Write a system of equations that models this situation.

Answer 1

To write a system of equations that models this situation, you can use the variables R, L, and I to represent the number of roses, lilies, and irises respectively. The equations would be 32 = (2.50)R + (4.00)L + (2.00)I and 12 = R + L + I. Additionally, the equation R = 2(L + I) can be used to represent the requirement of having twice as many roses as the other two types of flowers combined.

Step-by-step explanation:

To write a system of equations that models this situation, let's use the following variables:

R = number of roses

L = number of lilies

I = number of irises

Based on the given information, we can set up the following equations:

1. The cost of each bouquet is $32.
2. The number of flowers in each bouquet is 12.
3. The number of roses is twice the sum of the number of lilies and irises.

These equations can be written as:

32 = (2.50)R + (4.00)L + (2.00)I

12 = R + L + I

R = 2(L + I)