Question

Spiral Back : Proportions Set up the proportion The ratio of girls to boys at Rayburn Middle school is 5 to 8. If there are 64 boys, how many total students are Number of girls click to add text Total number of students Click to add text

Answer 1

40 girls

104 students

1) Given the ratio of girls to boys is 5:8 and there are a total of 64 boys we can write, and then cross multiply it (for this is a proportion):

`\begin{gathered} (5)/(8)=(x)/(64) \\ 8x=320 \\ x=40 \end{gathered}`

So there are 40 girls.

2) Hence, the number of students altogether is found by adding them up: 40+64 = 104