Question
a local bookstore carries soft to hard book cover books in ratio of 8:3. if the store has 222 hard cover books . how many soft cover books do they have
Answers
GPT-4o mini
Let's denote the number of soft cover books as \( S \) and the number of hard cover books as \( H \). According to the problem, the ratio of soft cover books to hard cover books is \( \frac{S}{H} = \frac{8}{3} \).
We know that there are 222 hard cover books, so we can set \( H = 222 \).
Using the ratio to find \( S \):
\[
\frac{S}{222} = \frac{8}{3}
\]
Now, we can cross-multiply to solve for \( S \):
\[
S \cdot 3 = 8 \cdot 222
\]
Calculating the right side:
\[
S \cdot 3 = 1776
\]
Now, divide both sides by 3 to find \( S \):
\[
S = \frac{1776}{3} = 592
\]
Thus, the bookstore has **592 soft cover books**.
We know that there are 222 hard cover books, so we can set \( H = 222 \).
Using the ratio to find \( S \):
\[
\frac{S}{222} = \frac{8}{3}
\]
Now, we can cross-multiply to solve for \( S \):
\[
S \cdot 3 = 8 \cdot 222
\]
Calculating the right side:
\[
S \cdot 3 = 1776
\]
Now, divide both sides by 3 to find \( S \):
\[
S = \frac{1776}{3} = 592
\]
Thus, the bookstore has **592 soft cover books**.