# Video: Solving Problems Involving Multiplicative and Additive Comparison

This table shows the scores of 6 ice skaters after a competition. Who scored 3 times as many points as Ethan?

02:46

### Video Transcript

This table shows the scores of six ice skaters after a competition. And then we’re shown a table that says six names and six scores. David scores 27. Ethan scores nine. There are 30 points for James, 18 points for Anthony. Matthew scores 12. And then in the final column, we can see that William has a score of three. Who scored three times as many points as Ethan?

So our first task is to find where Ethan is in the table. Here he is in the second column. So we can see the Ethan scores nine points. And the question asks us, who scored three times as many points as Ethan? We have to be careful here. Before we go on to answer the question, let’s think about what this is not asking us. The question is not saying Ethan scored three times as many as who?

If that was the question, then, to find the answer, we’d need to divide Ethan’s score into three equal parts. And we’d see that each part was worth the same as William’s score of three. In other words, three lots of William’s score equals Ethan’s score. This might be an easy mistake to make. But if we read the question carefully, we can see this is not what we’re being asked. We’re being asked, who scored three times as many points as Ethan? In other words, who had the score that was three times as large as Ethan’s score? Or, better still, who had the score that was worth three nines?

We need to multiply three by nine to find the answer. One times nine is nine. Two nines make a total of 18. Be careful here, because Anthony has a score of 18. But we’re not looking for two lots of Ethan’s score. We’re looking for three lots of Ethan’s score. Three nines are 27. Who has the score of 27? We can see that David does.

We found the answer by first thinking carefully about what the question was asking. And we used the bar model to recognise that we needed to work out three lots of nine to find the answer. We went through nine times table facts that we already knew until we got to three nines which we said was 27. Then we found the name of the ice skater who scored 27 points. The person who scored three times as many points as Ethan was David.