Question : Sister can bake 50 cakes in 25 hours, and Sister and Mummy together can bake 75 cakes in 15 hours. How many cakes Mummy can bake in 15 hours?
Option 1: 25
Option 2: 45
Option 3: 20
Option 4: 10
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Correct Answer: 45
Solution :
Given: Sister can bake 50 cakes in 25 hours, and Sister and Mummy together can bake 75 cakes in 15 hours.
The number of cakes baked by Sister in 1 hour = $\frac{50}{25}$ = 2
The number of cakes baked by Sister and Mummy together in 1 hour = $\frac{75}{15}$ = 5
So, the number of cakes baked by Mummy in 1 hour = (5 – 2) = 3
$\therefore$ The number of cakes baked by Mummy in 15 hours = (3 × 15) = 45
Hence, the correct answer is 45.
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