Question

9) Beth and Pranav each improved their yards by planting hostas and shrubs. They bought their supplies
from the same store. Beth spent $78 on 6 hostas and 14 shrubs. Pranav spent $75 on 10 hostas and 5
shrubs. What is the cost of one hosta and the cost of one shrub?

Answer 1

Answer:

The cost of one hosta is $6 and the cost of one shrub is $3.

Step-by-step explanation:

Having h representing the amount of hostas and s representing the amount of shrubs, we can make it into an equation.

6h+14s=78

10h+5s=75

There's probably a real way to do this, but I just guess numbers until I find something that fits. Eventually I tried s=3, then plugged that into the equations

6h+14(3)=78

Simplify

6h+42=78

Subtract 42

6h=36

Divide by 6

h=6

Then I plugged the numbers into the other equation

10(6)+5(3)=75

Simplify

60+15+75

Is the equation true? Yes. You have your answer

h=6, s=3