PSLE Seven 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 6 instead of 7. Each pupil paid $3.70 more than his share. What should be the cost of the souvenir?
|
7 pupils |
6 pupils |
Number |
7 |
6 |
Value |
1 u |
1 u + 3.70 |
Total value |
7 u |
6 u + 22.20 |
Cost of the souvenir if shared by 7 pupils
= 7 x 1 u
= 7 u
Cost of the souvenir if shared by 6 pupils
= 6 x (1 u + 3.70)
= 6 u + 22.20
The total amount that the 7 pupils shared is the same as the total amount that the 6 pupils shared.
7 u = 6 u + 22.20
7 u - 6 u = 22.20
1 u = 22.20
Cost of the souvenir
= 7 u
= 7 x 22.20
= $155.40
Answer(s): $155.40