Question

The original price of each 6‑day ski pass is reduced by 15% in a sale. In the sale the price of each 6‑day ski pass is $272.

(a) Calculate the original price of each 6‑day ski pass. The price of each 3‑day ski pass is £110 The exchange rate is £1 = $1.70 .
(b) Calculate how much Andrew will save by buying one 6‑day ski pass in the sale rather than two 3‑day ski passes.​

Answer 1

Explanation:

(a) Let the original price of each 6-day ski pass be x. Then, the sale price of each pass is 0.85x = 272. Solving for x, we have:

0.85x = 272

x = 320

Therefore, the original price of each 6-day ski pass was $320.

(b) Two 3-day ski passes cost 2 x £110 = £220. Converting to US dollars using the exchange rate, we have:

£220 x 1.70 = $374

Therefore, Andrew would save:

$374 - $272 = $102

by buying one 6-day ski pass in the sale rather than two 3-day ski passes.