PSLE Eight students shared the cost of a souvenir equally. When calculating the amount for each share, one of the students made a mistake by dividing the cost of the souvenir by 7 instead of 8. Each student paid $3.70 more than his share. What should be the cost of the souvenir?
|
8 students |
7 students |
Number |
8 |
7 |
Value |
1 u |
1 u + 3.70 |
Total value |
8 u |
7 u + 25.90 |
Cost of the souvenir if shared by 8 students
= 8 x 1 u
= 8 u
Cost of the souvenir if shared by 7 students
= 7 x (1 u + 3.70)
= 7 u + 25.90
The total amount that the 8 students shared is the same as the total amount that the 7 students shared.
8 u = 7 u + 25.90
8 u - 7 u = 25.90
1 u = 25.90
Cost of the souvenir
= 8 u
= 8 x 25.90
= $207.20
Answer(s): $207.20