Question

a swimming pool charges £3.60 for entry. you can save 1/3 of entry fee with a membership card. on his first visit, ken spends £5 on a membership card plus the reduced entry fee. how many times does ken visit before he gets back his £5

Answer 1

The number of times Ken visits, given the £3.6 pool charge, and 1/3 savings per visit is 5 times.

Which method can be used to find the number of times Ken visits the pool to get back his £5?

The entry fee = £3.60

Amount saved on entry fee by having a membership card = 1/3 of the entry fee

Amount Ken spends on the membership card and the reduced entry fee = £5

Therefore;

Reduced entry fee = £3.60×(1 - 1/3) = £2.4

Amount saved per visit = £3.6 - £2.4 = £1.2

The number of visits, n, before he gets back his £5 is therefore;

• n = £5/(£1.2/visit) ≈ 4.17 visits

Ken has to visit the swimming pool more than 4 times to get his £5 back.

Rounding to the next larger whole, therefore;

• The number of visits, n, before he gets back his £5 is 5 visits

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