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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?

Respuesta :

Answer:

[tex]\frac{4}{5}[/tex]

Explanation:

Data provided in the question

The ratios are

Second graders to the fourth grader is [tex]\frac{8}{5}[/tex]

First graders to the second grader is [tex]\frac{3}{4}[/tex]

Third graders to the fourth grader is [tex]\frac{3}{2}[/tex]

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

So, it would be

= [tex]\frac{8}{5}\times\frac{3}{4}\times\frac{2}{3}[/tex]

= [tex]\frac{4}{5}[/tex]

Hence, the ratio of first graders to the third graders is [tex]\frac{4}{5}[/tex]

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