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 \( \boxed{318} \).
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