Question

At a store, the ratio of apples to oranges is 3 to 4. If there are 36 apples, how many oranges are at the store?
Responses

A 99

B 4848

C 1212

D 3636

Answer 1

To solve the problem, we start with the given ratio of apples to oranges, which is 3:4. This means that for every 3 apples, there are 4 oranges.

Let the number of apples be represented by \( A \) and the number of oranges by \( O \). From the ratio, we can write the relationship as:

\[
\frac{A}{O} = \frac{3}{4}
\]

We also know that there are 36 apples, so we can set \( A = 36 \). Now we can find \( O \) using the ratio:

\[
\frac{36}{O} = \frac{3}{4}
\]

To find \( O \), we can cross multiply:

\[
36 \cdot 4 = 3 \cdot O
\]

This simplifies to:

\[
144 = 3O
\]

Now, divide both sides by 3 to solve for \( O \):

\[
O = \frac{144}{3} = 48
\]

Therefore, the number of oranges in the store is **48**.

However, none of the options provided (A: 99, B: 4848, C: 1212, D: 3636) seems to match our calculation. It appears there may have been a misunderstanding or miscommunication regarding the problem parameters, because based on the original ratio and the number of apples, there are indeed 48 oranges.