Question

Anne Richards purchased two slippers at one price and three pajamas at another price. Let s = the price of each slipper and p = the price of each pajama. Each slipper

cost $12. How much did each pajama cost if the total purchase price was $120?
Each pajama cost $. (Simplify your answer.)

Answer 1

`E`ach pajama costs $32

Explanation:

So, the said person bought:

2 slippers at a price, 3 pajamas at another price. (The prices are unknowns, s, and p)

Each slippers cost $12

We are to find the cost of each pajama, where the total purchase price is $120

With the given conditions, we formulate an equation: 2s + 3p = 120

Since s = 12, we replace for the value of s in the equation. s becomes 2 × 12 = 24.

The new equation is then: 24 + 3p = 120, where we are to find the value of p.

Collect like terms: 3p = 120 - 24 → 3p = 96

Divide both sides of the equation by 3 to find the value of p: 3p/3 = 96/3 → p = 32

Therefore, the price of each pajama is $32

I hope this helps