Question Video: Counting Coins with Pounds Mathematics

Pick the coins that make £4 and 27p.

03:40

Video Transcript

Pick the coins that make four pounds and 27 pence.

In this question, we’re given two groups of coins. And we’re told to pick the coins that make a certain amount of money. Now, the amount we’re looking for is made up of two parts. Can you see how the first part is made up of this symbol and the number four? This is the symbol that we use to represent pounds. And some of our coins are worth pounds. Then we can also see that the second part contains the number 27 and a letter, p. Do you remember what the letter p stands for when we talk about money? It stands for an amount of pence. So we’re looking for a group of coins that contains both pounds and pence, four pounds and 27 pence.

And we can find out which group this is by counting the pounds and the pence separately. Let’s start by looking at our first group. Do you notice anything interesting about the order that the coins have been put in? If you can remember what the value of these coins are, you’ll know that they’ve been put in order from largest to smallest. Out of all the coins in the group, this coin here has the most value and these three coins on the end have the least value. And you know it does help us when we’re counting money to start with the largest and go all the way through to the smallest amounts.

So to begin with in this first group, let’s see how many pounds we have. Which coins have a value in pounds? Well, if we look carefully at each of the coins, we can see their value. It’s written on them. You might recognize what they’re worth as well by their shape and their color. First coin has a value of two pounds. And then looking carefully at our next three coins, we can see they’re all the same and they all have a value of one pound. Now we know that the only coins that are a value of pounds are the two-pound and the one-pound coin. And there aren’t any more of these in the group, so we know that we’ve found all the pounds that are there. Two plus three ones is the same as two plus three, which is equal to five. We have five pounds.

Now we’re looking for a group of coins that makes four pounds and something. So it looks like perhaps straightaway we’ve found the correct answer. It must be the second group. Let’s count how many pounds we have then in the second group. Once again, we can see a two-pound coin to begin with. And this time, we only have two one-pound coins. And we know that two plus two ones is the same as two plus two, or four. Our second group has four pounds.

Now, hopefully, the rest of the coins add up to 27 pence. But before we add them, have another look at the first group. What do you notice about the coins that we have left? There are two 10-pence coins, two two-pence coins, and three one-penny coins. And this is exactly the same as what we have in our second group: two 10-pence coins, two two-pence coins, and three one-penny coins. We know that 10 plus 10 equals 20, two twos have a value of four, and three ones are worth three. And we know that if we add 20, four, and three together, we get 27. And so both groups have a different number of pounds, but they have the same amount of pence.

We found the correct answer by counting the number of pounds and then the number of pence. The correct group is the one that contains four pounds, made up of a two-pound coin and two one-pound coins, and then 27 pence.

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