Video: Finding the Ratio between Two Quantities Using Tables

The table shows whether basketball or football was preferred by a group of students. What is the ratio of the students who preferred football to basketball? What is the ratio of the girls who preferred football to the boys who preferred football? What is the ratio of boys who preferred basketball to boys who preferred football?

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Video Transcript

The table shows whether basketball or football was preferred by a group of students. There are three parts to this question. Firstly, what is the ratio of the students who preferred football to basketball? Secondly, what is the ratio of the girls who preferred football to the boys who preferred football? And thirdly, what is the ratio of the boys who preferred basketball to the boys who preferred football?

The table tells us that there were 13 boys who preferred football. There were 12 boys who preferred basketball. There were five girls who preferred football and seven girls who preferred basketball. The first part of the question wants us to write the ratio of students who preferred football to those who preferred basketball.

We can find the total number of students who preferred football by adding 13 and five, as there were 13 boys and five girls. 13 plus five is equal to 18. Therefore, there were 18 students who preferred football. The number of students who preferred basketball is found by adding 12 and seven. There were 12 boys and seven girls. 12 plus seven is equal to 19. Therefore, 19 students preferred basketball. Writing this as a ratio, we have 18 to 19, as 18 students preferred football and 19 students preferred basketball.

The second part of the question wants the girls who preferred football and the boys who preferred football. These are the numbers in the first column of the table. There were 13 boys and five girls. As we are asked to give a ratio of girls to the ratio of boys, the ratio is five to 13.

Finally, we were asked to write the ratio of boys who preferred basketball to boys who preferred football. These can be found in the first row of the table. 13 boys preferred football and 12 boys preferred basketball. Once again, as basketball came first in the question, the ratio is 12 to 13.

In summary, the ratio of the students who preferred football to those who preferred basketball was 18 to 19. The ratio of the girls who preferred football to the boys who preferred football was five to 13. And the ratio of the boys who preferred basketball to the boys who preferred football was 12 to 13.

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