The ratio 3 : 5 means 3 units for the smaller quantity and 5 units for the larger.<br><br>
[[model:questions/solutions/q7588.png]]<br><br>
&bull; 3 units → 24<br>
&bull; 1 unit → 24 ÷ 3 = 8<br>
&bull; Larger quantity = 5 units = 5 × 8 = 40<br>
&bull; Times larger = \frac{5}{3}<br>
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Larger quantity is 40 and it is \frac{5}{3} times the smaller.<br>
Check: 40 ÷ 24 = \frac{40}{24} = \frac{5}{3}. ✓