Video: KS2-M16S • Paper 2 • Question 16

Large pizzas cost £8.50 each. small pizzas cost £6.75 each. Five children together buy one large pizza and three small pizzas. They share the cost equally. How much does each child pay in pounds?

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Video Transcript

Large pizzas cost eight pounds 50 each. small pizzas cost six pounds 75 each. Five children together buy one large pizza and three small pizzas. They share the cost equally. How much does each child pay in pounds?

First, we need to work out how much money the children spent altogether on pizza by calculating the cost of one large pizza and three small pizzas. We know a large pizza costs eight pounds 50 and small pizzas cost six pounds 75 each. So we need to multiply six pounds 75 by three. Three times five is 15. Three times seven is 21, plus the one we exchanged gives us a total of 22. And six times three is 18, plus the two we exchanged makes 20. So the cost of three small pizzas is 20 pounds and 25 pence.

Now we just need to add the cost of a large pizza. Five plus zero is five. Two plus five is seven. Nothing plus eight is eight. And two plus nothing is two. So the total cost of three small pizzas and one large pizza is 28 pounds and 75 pence.

We know the children share the cost equally, and there are five children. So we need to divide the total cost by the number of children. This would tell us how much each child pays. There are no fives in two. How many fives are there in 28? Five fives are 25, leaving us with a remainder of three. Seven fives are 35, leaving us with a remainder of two. And there are five fives in 25. And we need to give our answer in pounds. Each child pays five pounds 75.

First, we calculated the cost of three small pizzas. We added this to the cost of a large pizza to find the total cost of pizza. Then we divided the total cost by the number of children, which was five. Each child pays five pounds 75.

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