
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?
How to tackle this question?
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?
How to tackle this question?
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
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.