Question

Liam reads books. For every 5 mystery books he reads, he reads 2 science books. If he reads 98 books in total, how many are science books?





(1 point)
Responses

14 science books
14 science books

7 science books
7 science books

28 science books
28 science books

70 science books

Answer 1

Let's denote the number of mystery books Liam reads as \(m\) and the number of science books as \(s\). According to the problem, we have the following ratio:

\[
\frac{m}{s} = \frac{5}{2}
\]

From this ratio, we can express \(m\) in terms of \(s\):

\[
m = \frac{5}{2} s
\]

We also know that the total number of books he reads is 98:

\[
m + s = 98
\]

Substituting the expression for \(m\) into the total:

\[
\frac{5}{2}s + s = 98
\]

To combine the terms on the left side, we express \(s\) as \(\frac{2}{2}s\):

\[
\frac{5}{2}s + \frac{2}{2}s = 98
\]

\[
\frac{7}{2}s = 98
\]

Now, we can solve for \(s\) by multiplying both sides by \(2\):

\[
7s = 196
\]
\[
s = \frac{196}{7}
\]
\[
s = 28
\]

Thus, the number of science books Liam reads is **28**.

The answer is:
28 science books.