Question

Amira has lemons and limes in a ratio of 40:53. How many limes does she have if she has 240 lemons?

Answer 1

To find out how many limes Amira has, we start with the ratio of lemons to limes, which is given as 40:53. This implies that for every 40 lemons, there are 53 limes.

We know that Amira has 240 lemons. We can set up a proportion to find the number of limes (\(L\)):

\[
\frac{\text{lemons}}{\text{limes}} = \frac{40}{53}
\]

Substituting the known number of lemons:

\[
\frac{240}{L} = \frac{40}{53}
\]

Next, we cross-multiply to solve for \(L\):

\[
240 \cdot 53 = 40 \cdot L
\]

Calculating \(240 \cdot 53\):

\[
240 \cdot 53 = 12720
\]

Now we have the equation:

\[
12720 = 40 \cdot L
\]

Now, solve for \(L\) by dividing both sides by 40:

\[
L = \frac{12720}{40}
\]

Calculating \(12720 \div 40\):

\[
L = 318
\]

Thus, the number of limes Amira has is \( \boxed{318} \).