PSLE Three pupils shared the cost of a souvenir equally. When calculating the amount for each share, one of the pupils made a mistake by dividing the cost of the souvenir by 4 instead of 3. Each pupil paid $4.30 less than his share. What should be the cost of the souvenir?
|
4 pupils |
3 pupils |
Number |
4 |
3 |
Value |
1 u |
1 u + 4.30 |
Total value |
4 u |
3 u + 12.90 |
Cost of the souvenir if shared by 4 pupils
= 4 x 1 u
= 4 u
Cost of the souvenir if shared by 3 pupils
= 3 x (1 u + 4.30)
= 3 u + 12.90
The total amount that the 4 pupils shared is the same as the total amount that the 3 pupils shared.
4 u = 3 u + 12.90
4 u - 3 u = 12.90
1 u = 12.90
Cost of the souvenir
= 4 u
= 4 x 12.90
= $51.60
Answer(s): $51.60