Question

DeShawn and Pranav each improved their yards by planting daylilies and shrubs. They bough

their supplies from the same store. DeShawn spent $143 on 9 daylilies and 4 shrubs. Pranav
spent $198 on 14 daylilies and 4 shrubs. Find the cost of one daylily and the cost of one shrub

Answer 1

Daylilies cost $11 and shrubs cost $11

Explanation:

Let's call the cost of daylilies as x and the cost of shrubs as y. We can write:

9x + 4y = 143 -- Equation 1

14x + 4y = 198 -- Equation 2

5x = 55 -- Subtract Equation 1 from Equation 2

x = 11 -- Divide by 5

9 * 11 + 4y = 143 -- Substitute x = 11 into Equation 1

4y = 44 -- Subtract 99

y = 11 -- Divide by 4