Question

There are 48 students in a school play. The ratio of boys to girls is 5:7. How many more girls than boys are in the play? Explain how you found your answer

Answer 1

The correct answer is 8.
The ratio of boys to girls is 5:7. 5 + 7 = 12 5/12 of the students are boys. 7/12 of the students are girls. The number of boys is (5/12)48 = 20. The number of girls is (7/12)48 = 28. 28 - 20 =8. Therefore, there are 8 more girls than boys in the play.

Answer 2

Answer:

48 students total in the school play

Ratio of boys to girls is 5:7  

How many more girls are there than boys in the play?

Let's let "5x" represent the number of boys in the school play and "7x" represent the number of girls in the school play.

5x = boys

7x = girls

 If we know that the total number of students in the play equals 48, then that must me that both the number of boys and girls combined must equal 48:

5x + 7x = 48

12x = 48

x = 4

Now, take your x-value and plug it into both the boys' and girls' values to figure out how many boys and girls there are in the play:

5x = 5 (4) = 20 boys  

7x = 7 (4) = 28 girls

To find out how many more girls there are than boys in the play, just subtract the number of girls minus the number of boys:

# girls - # boys = 28 - 20 = 8

This means that there are 8 more girls than boys in the school play.

Step-by-step explanation:

Hope this helped