Video: Solving Word Problems Using the Multiplication Table and Addition

Jacob bought 7 books for five pounds each, and 6 pens for two pounds each. If the remainder is 6 pounds, how much money did he have?

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Video Transcript

Jacob bought seven books for five pounds each, and six pens for two pounds each. If the remainder is six pounds, how much money did he have?

We can draw a bar model to help us get an idea what this question’s asking us. Firstly, we’re told that Jacob bought seven books for five pounds each. So, let’s divide our first bar into seven. And each of our seven equal parts, which represents the books that Jacob bought, is worth five pounds, seven lots of five.

We’re also told that Jacob bought six pens for two pounds each. We can represent the overall total so far by adding another part to our bar. This time, we need to divide it into six to represent the six pens. And we know that each pen is worth two pounds each. So, this part of our bar is worth six lots of two.

Finally, we’re told that the remainder is six pounds. Presumably, this is the money that Jacob has left after he’s bought all the books and pens. The question asks us to find out the amount of money that Jacob has. And so, if we want to find the overall total, we need to include the remainder as well as the money that he spent because it’s part of the money that he had. So, on the end, we’re going to add another part to our bar that’s worth six pounds.

We can now use the bar model to help us calculate the answer. If Jacob bought seven books for five pounds each, we can find the value of the first part of our bar model by multiplying seven by five. Then, if Jacob bought six pens for two pounds each, we can find the second part of our bar model by multiplying six by two. And then, finally, of course, we can add Jacob’s remaining six pounds.

So, let’s go through now and work out the three parts of our calculation. To calculate seven fives, we can count in five seven times, Five, 10, 15, 20, 25, 30, 35. Seven multiplied by five equals 35. Now, we need to calculate the value of six times two. We know that six twos are the same as two times six and six doubled equals 12. So, to find the amount of money that Jacob has all together, we need to add 35, 12, and six.

We know 35 plus 10 is 45. And so, if we’re adding 12, we need to add two more than this. 45 plus two equals 47. Finally, we need to add the six that Jacob has left over. 47 plus six equals 53.

If Jacob bought seven books for five pounds each, we need to multiply seven by five to find out the amount of money that he spent on the books. We found that out to be 35 pounds. And then, if he bought six pens for two pounds each, we can multiply six by two to find out the amount of money that he spent on pens. Six times two is 12. Finally, if he has a remainder of six pounds, we need to add 35 plus 12 plus the remainder of six to find out the amount of money that Jacob had in total. 35 plus 12 plus six equals a total of 53 pounds.

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