PSLE Six 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 6. Each student paid $1.60 less than his share. What should be the cost of the souvenir?
|
7 students |
6 students |
Number |
7 |
6 |
Value |
1 u |
1 u + 1.60 |
Total value |
7 u |
6 u + 9.60 |
Cost of the souvenir if shared by 7 students
= 7 x 1 u
= 7 u
Cost of the souvenir if shared by 6 students
= 6 x (1 u + 1.60)
= 6 u + 9.60
The total amount that the 7 students shared is the same as the total amount that the 6 students shared.
7 u = 6 u + 9.60
7 u - 6 u = 9.60
1 u = 9.60
Cost of the souvenir
= 7 u
= 7 x 9.60
= $67.20
Answer(s): $67.20