Question Video: Solving Multistep Word Problems with Division and Subtraction | Nagwa Question Video: Solving Multistep Word Problems with Division and Subtraction | Nagwa

Question Video: Solving Multistep Word Problems with Division and Subtraction

Max is packing toys into boxes to deliver to shops. Each box holds 8 toys. There are 205 toys, but he finds that 13 are damaged and cannot be packed. How many toys are NOT damaged? How many boxes does he need to pack the undamaged toys?

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Video Transcript

Max is packing toys into boxes to deliver to shops. Each box holds eight toys. There are 205 toys, but he finds that 13 are damaged and cannot be packed. How many toys are not damaged? How many boxes does he need to pack the undamaged toys?

In this problem, we’re told about Max, who’s packing toys to deliver to shops. But we’re told that some of the toys he has are damaged and he can’t pack them. In the first question, we’re asked to find out how many toys are not damaged. To calculate this answer, we need two pieces of information. We need to know the number of toys that Max has to begin with, and we’re told that this number is 205. And we also need to know the number of toys that are damaged. And we’re told in the question that Max finds that 13 are damaged. So to find the number of toys that are not damaged, we need to subtract 13 from 205.

A quick way to do this is to subtract 10 and then three. 10 less than 205 is 195. And then if we subtract another three, we have the answer 192. We’ve subtracted 13 from 205, and we’ve got the answer 192. The number of toys that are not damaged is 192. So obviously, Max has 192 toys that he can pack in boxes. And this is where our second question comes in. How many boxes does he need to pack the undamaged toys? If we go back to the start of the problem, we can see that each box holds eight toys. And so if Max has 192 toys that he can pack and he can fit eight in a box, he needs to find out how many eights there are in 192.

Let’s use short division to find the answer. There are zero eights in one. So we’ll have to have that one as remainder. We’re going to write it next to the nine. Our nine has become 19. So how many eights are in 19? We know two eights are 16. And this is a close as we can get to 19 without going above it. So there are two eights in 19. And if we count up from 16 — 16, 17, 18, 19 — we have three left over. So we can write the three remainder next to the two to make 32. Finally then, how many eights are there in 32? Well, as we’ve just said, two eights are 16. And double 16 is 32. So double two lots of eight is four lots of eight. There are four lots of eight in 32. So we’ve divided 192 by eight to find the answer.

There were two parts to this question. We needed to subtract in the first part and divide in the second. If Max is packing toys into boxes and there are 205 toys, but he finds that 13 are damaged, then we need to subtract 13 from 205 to find the number of toys that are not damaged. The number of toys that aren’t damaged then is 192. If each box then contains eight toys, we can use this information to find the number of boxes that he needs to pack the undamaged toys. To do this, we need to divide 192 by eight. Max is going to need 24 boxes. Our two answers are 192 and 24.

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