PSLE Six students shared the cost of a gift equally. When calculating the amount for each share, one of the students made a mistake by dividing the cost of the gift by 7 instead of 6. Each student paid $2.90 less than his share. What should be the cost of the gift?
|
7 students |
6 students |
Number |
7 |
6 |
Value |
1 u |
1 u + 2.90 |
Total value |
7 u |
6 u + 17.40 |
Cost of the gift if shared by 7 students
= 7 x 1 u
= 7 u
Cost of the gift if shared by 6 students
= 6 x (1 u + 2.90)
= 6 u + 17.40
The total amount that the 7 students shared is the same as the total amount that the 6 students shared.
7 u = 6 u + 17.40
7 u - 6 u = 17.40
1 u = 17.40
Cost of the gift
= 7 u
= 7 x 17.40
= $121.80
Answer(s): $121.80