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Video: Solving Word Problems by Calculating the Discount Percentage

Kathryn Kingham

A sports club’s entry ticket on a weekday costs $40, and, on the weekend, it costs $48. Determine the percentage discount to the nearest percent if Mason goes to the club on a weekday instead of a weekend.

02:13

Video Transcript

A sports club’s entry ticket on a weekday costs 40 dollars, and on the weekend, it costs 48 dollars. Determine the percentage discount to the nearest percent if Mason goes to the club on a weekday instead of on a weekend.

Mason wants to play sports, but he also wants to save money. Let’s see if we can figure out exactly what percent of money he would save by going on a weekday. This is a percent of change problem. To find the percent of change, we’ll take the amount of change over the original amount, and then we’ll multiply that number by 100. Our percent of change is comparing the weekend to the weekday. The weekend costs 48 dollars and the weekday costs 40 dollars. So I’ll need to subtract 40 from 48. And because we’re comparing the weekday to the weekend, the original amount, the expensive amount, 48 dollars, would be in the denominator here. And then we multiply that by 100.

48 minus 40 equals eight dollars. Bring down the 48. So our percent of change will be eight over 48 times 100. So I’m gonna put this whole value into the calculator. And the calculator tells me 16.6 repeating percent. But if we read our question carefully, we’ll know that our question is asking us to round to the nearest percent. We’ll need to round 16.6 repeating to the nearest percent. Because six tenths is greater than half, we round up to 17 percent.

Mason can save 17 percent by going to the sports club on a weekday.