Lea Spent $80 on 8 hostas and 8 shrubs. Krystal spent $50 on 9 hostas and 4 shrubs

Question

Lea and Krystal each improved their yards by planting hostas and shrubs. They bought their supplies from the same store. Lea spent $80 on 8 hostas and 8 shrubs. Krystal spent $50 on 9 hostas and 4 shrubs. What is the cost of one hosta and the cost of on shrub?

Answer 1

h=# of hostas

s=# of shrubs

80=8h+8s

50=9h+4s

80=8h+8s

divide both sides by 8

10=h+s

10-h=s

50=9h+4s

substitute

50=9h+4(10-h)

50=9h+40-4h

50=5h+40

50-40=5h

10=5h

h=10/5

h=2 hostas

10-2=8 shrubs