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A pizza shop offers loyalty cards that cost £32 per year. Without the loyalty card, each pizza costs £10. Having a loyalty card means that the cost of going is reduced to 12 of the normal amount.How many pizzas would you need to buy per year to save money by buying a membership?

Question

A pizza shop offers loyalty cards that cost £32 per year. Without the loyalty card, each pizza costs £10. Having a loyalty card means that the cost of going is reduced to 12 of the normal amount.How many pizzas would you need to buy per year to save money by buying a membership?

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Solution

To answer this question, we first need to understand how much each pizza costs with the loyalty card.

  1. The loyalty card reduces the cost to 1/2 of the normal amount. So, each pizza with the loyalty card costs £10 * 1/2 = £5.

  2. Next, we need to calculate how many pizzas you need to buy to cover the cost of the loyalty card. The loyalty card costs £32, and each pizza with the loyalty card saves you £5 (the difference between the normal price and the discounted price). So, you would need to buy £32 / £5 = 6.4 pizzas.

Since you can't buy a fraction of a pizza, you would need to buy 7 pizzas in a year to save money by buying a membership.

This problem has been solved

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