The price of 3 pairs of skis and 4 pairs of skates was $470. What is the price of a pair of skis and a pair of skates if the price of 2 pairs of skates is $10 more than the price of a pair of skis?
Accepted Solution
A:
Let the price of a pair of skis = x , and the price of a pair of skates = y
The price of 3 pairs of skis and 4 pairs of skates was $470 ∴ 3x + 4y = 470 ⇒⇒⇒ (1)
The price of 2 pairs of skates is $10 more than the price of a pair of skis ∴ 2y - x = 10 ⇒⇒⇒ (2)
multiplying equation (2) by 3 and add to equation (1) ∴ 10y = 500 ∴ y = 50
Substituting at (2) to find x ∴ x = 2y - 10 = 90
The price of a pair of skis = 90 The price of a pair of skates = 50