Video: AQA GCSE Mathematics Foundation Tier Pack 3 • Paper 1 • Question 6

Complete the table.

02:40

Video Transcript

Complete the table. We are told in the table that half a pound is equal to eight ounces. We need to calculate the number of ounces in one and a half pounds and the number of pounds in 28 ounces.

Let’s begin by calculating the number of ounces in one and a half pounds. As we know that half a pound is equal to eight ounces, we can work out the number of ounces in one pound by multiplying by two. One-half multiplied by two is equal to one. As we’ve multiplied the left-hand side of the equation by two, we need to multiply the right-hand side by two. Eight multiplied by two is equal to 16. Therefore, one pound is equal to 16 ounces.

As one pound is equal to 16 ounces and half a pound equals eight ounces, one and a half pounds must be equal to 16 plus eight. This is equal to 24. Therefore, one and a half pounds is equal to 24 ounces.

The second part of this question is to work out the number of pounds in 28 ounces. Let’s firstly go back to our start point that a half a pound is equal to eight ounces. Eight divided by two is equal to four. Therefore, we can work out the number of pounds in four ounces by dividing a half by two. Dividing by two is the same as halving a number. And a half of a half is equal to a quarter. Therefore, one-quarter of a pound is equal to four ounces.

We now have the number of pounds in 24 ounces and the number of pounds in four ounces. 24 plus four is equal to 28. This means that we can add one and a half and one-quarter to work out the number of pounds in 28 ounces. We know that one-half plus a quarter is equal to three-quarters. This means that one and a half plus one-quarter is equal to one and three-quarters. We can therefore say that one and three-quarter pounds is equal to 28 ounces. The two missing numbers in the table were 24 and one and three-quarters.

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