The ratio of the number of apples to the number of pears at a fruit stall is 3:4.After 1/2 of the apples are sold,there are 25 fewer apples than pears.How many pears are there?
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Question
Answer
sushi88
Apples Pears
Initially 3u 4u
1/2 apples sold -(3/2)u
Final 3u-(3/2)u 4u
Apples are is now 25 fewer than pears => to equal pears now, +25 to apple
3u-(3/2)u + 25 = 4u (x 2 for both sides)
6u – 3u + 50 = 8u
5u = 50 => u = 10
Hence number of pears = 4u = 4 x 10 = 40
waterflow
If number of apples is 6U initially , then
Apples Pears
Initially 6U 8U
Finally 3U 8U
Given 8U-3U=25
U=5
So there are 5*8=40 pears
The ratio of apple is 3 at first , but it will be half later, so it is better to use 6 so that after halving you still have an integer to work with.