PSLE Four pupils shared the cost of a present equally. When calculating the amount for each share, one of the pupils made a mistake by dividing the cost of the present by 3 instead of 4. Each pupil paid $2.60 more than his share. What should be the cost of the present?
|
4 pupils |
3 pupils |
Number |
4 |
3 |
Value |
1 u |
1 u + 2.60 |
Total value |
4 u |
3 u + 7.80 |
Cost of the present if shared by 4 pupils
= 4 x 1 u
= 4 u
Cost of the present if shared by 3 pupils
= 3 x (1 u + 2.60)
= 3 u + 7.80
The total amount that the 4 pupils shared is the same as the total amount that the 3 pupils shared.
4 u = 3 u + 7.80
4 u - 3 u = 7.80
1 u = 7.80
Cost of the present
= 4 u
= 4 x 7.80
= $31.20
Answer(s): $31.20