Question

At a certain school, the ratio of the number of second graders to the number of fourth graders is 8 to 5, and the ratio of the number of first graders to the number of second graders is 3 to 4. If the ratio of the number of third graders to the number of fourth graders is 3 to 2, what is the ratio of the number of first graders to the number of third graders?

Answer 1

Answer:

$\frac{4}{5}$

Explanation:

Data provided in the question

The ratios are

Second graders to the fourth grader is $\frac{8}{5}$

First graders to the second grader is $\frac{3}{4}$

Third graders to the fourth grader is $\frac{3}{2}$

Now if we multiplying these above three ratios but the last ratio should be reverse

So, it would be

= $\frac{8}{5}\times\frac{3}{4}\times\frac{2}{3}$

= $\frac{4}{5}$

Hence, the ratio of first graders to the third graders is $\frac{4}{5}$