Question

lisa and amy each improved their yards by planting grass sod and shrubs.They bought their supplies from the same store.lisa spent $67 on 5 m2 of grass sod and 1 shrub. Amy spent $74 on 5 m2 of grass sod and 2 shrubs. What is the cost of one m2 of grass sod and shrub.

Answer 1

The cost of one m2 of grass sod is $12 and the cost of one shrub is $7, determined by solving a system of equations derived from Lisa and Amy's purchases.

Step-by-step explanation:

To determine the cost of one m2 of grass sod and one shrub, let's use the system of equations based on Lisa and Amy's purchases:

• Let x represent the cost of one m2 of grass sod.
• Let y represent the cost of one shrub.

Lisa's purchase: 5x + y = $67 (Equation 1)

Amy's purchase: 5x + 2y = $74 (Equation 2)

We can solve this system by using the subtraction method. First, rearrange Equation 1 to express y in terms of x:

y = $67 - 5x (Equation 3)

Then, substitute Equation 3 into Equation 2:

5x + 2($67 - 5x) = $74

Simplify and solve for x:

5x + $134 - 10x = $74

-5x = $74 - $134

-5x = -$60

x = $12

With the cost of grass sod per m2 found, we can find y by substituting x into Equation 3:

y = $67 - 5($12)

y = $67 - $60

y = $7

Therefore, the cost of one m2 of grass sod is $12, and the cost of one shrub is $7.