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?

Question

Mathematics

Ruby Miles

5 March, 21:00

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?

+5

Answers (1)

Know the Answer?

Skyler Archer · Answer 1

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

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

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?