Question

11) Krystal and Rob each improved their yards by planting hostas and ivy. They bought their

supplies from the same store. Krystal spent $132 on 8 hostas and 4 pots of ivy. Rob spent $44

on 2 hostas and 2 pots of ivy. What is the cost of one hosta and the cost of one pot of ivy?

Answer 1

Answer: Cost of one hosta = $11

Cost of one pot of ivy = $11

Explanation:

Let the the cost of one hosta be represented by x.

Let the cost of one pot of ivy be represented by y.

The information given in the question can be formed into an equation as:

8x + 4y = 132 ............ i

2x + 2y = 44 ............. ii

Multiply equation i by 2

Multiply equation ii by 4

16x + 8y = 264 ........ iii

8x + 8y = 176 ........ iv

Subtract iv from iii

8x = 88

x = 88/8

x = 11

One hosta cost $11

From equation ii

2x + 2y = 44

2(11) + 2y = 44

22 + 2y = 44

2y = 44 - 22

2y = 22

y = 22/2

y = 11

One pot of ivy cost $11