Question

Becky lives 5 3/4 miles from her school. This is 2/5 of the distance she lives from the beach. How many miles does Becky live from the beach?

Answer 1

Given:

Becky lives 5 3/4 miles from her school

This is 2/5 of the distance she lives from the beach

To find:

How many miles does Becky live from the beach?

Solution:

The distance between Becky's home and school = $5 \frac{3}{4} \:miles = \frac{23}{4} \:miles$

Let's assume "x" represents the distance between Becky's home and the beach.

According to the question, we have

$\frac{2}{5} \times [Distance\:between \:home\:\&\:beach] = [Distance \:bewteen\: home\:\&\:school ]$

$\implies \frac{2}{5} \times x = \frac{23}{4}$

$\implies x = \frac{23}{4} \times \frac{5}{2}$

$\implies x = \frac{115}{8}$

converting the fraction into a mixed fraction

$\implies \bold{x = 14 \frac{3}{8} \:miles }$

Thus, Becky lives $\underline{\bold{14\frac{3}{8} \:miles }}$ away from the beach.

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