PSLE
At a sale, Wesley bought 9 cups of the same kind. His sister bought 5 such cups. She also bought 3 bowls at $7.90 each. Altogether, she spent $0.099999999999998 more than Wesley. What was the total amount of money Wesley and his sister spent?

	Wesley	His sister
Items bought	9 cups	5 cups + 3 bowls = 5 cups + 23.70
Comparing the amounts paid		$0.099999999999998 more

Amount that his sister spent on 3 bowls
= 3 x 7.90
= $23.70

Let the cost of 1 cup be 1 C.

If Wesley's sister spent $0.099999999999998 less, each would pay the same amount.

9 C + 0.099999999999998 = 5 C + 23.70 - 0.099999999999998
9 C - 5 C = 23.70 - 0.099999999999998
4 C = 23.60

1 C = 23.60 ÷ 4 = 5.90

Total amount that Wesley and his sister spent
= 9 C + 5 C + 23.70
= 14 C + 23.70
= 14 x 5.90 + 23.70
= 82.60 + 23.70
= $106.30

Answer(s): $106.30