PSLE Seven 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 6 instead of 7. Each student paid $2.80 more than his share. What should be the cost of the souvenir?
|
7 students |
6 students |
Number |
7 |
6 |
Value |
1 u |
1 u + 2.80 |
Total value |
7 u |
6 u + 16.80 |
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 + 2.80)
= 6 u + 16.80
The total amount that the 7 students shared is the same as the total amount that the 6 students shared.
7 u = 6 u + 16.80
7 u - 6 u = 16.80
1 u = 16.80
Cost of the souvenir
= 7 u
= 7 x 16.80
= $117.60
Answer(s): $117.60