PSLE Four pupils shared the cost of a gift equally. When calculating the amount for each share, one of the pupils made a mistake by dividing the cost of the gift by 3 instead of 4. Each pupil paid $4.90 more than his share. What should be the cost of the gift?
|
4 pupils |
3 pupils |
Number |
4 |
3 |
Value |
1 u |
1 u + 4.90 |
Total value |
4 u |
3 u + 14.70 |
Cost of the gift if shared by 4 pupils
= 4 x 1 u
= 4 u
Cost of the gift if shared by 3 pupils
= 3 x (1 u + 4.90)
= 3 u + 14.70
The total amount that the 4 pupils shared is the same as the total amount that the 3 pupils shared.
4 u = 3 u + 14.70
4 u - 3 u = 14.70
1 u = 14.70
Cost of the gift
= 4 u
= 4 x 14.70
= $58.80
Answer(s): $58.80