PSLE At a sale, Ian bought 10 wine glasses of the same kind. His sister bought 7 such wine glasses. She also bought 5 glasses at $6.50 each. Altogether, she spent $4.60 more than Ian. What was the total amount of money Ian and his sister spent?
|
Ian |
His sister |
Items bought
|
10 wine glasses
|
7 wine glasses + 5 glasses = 7 wine glasses + 32.50 |
Comparing the amounts paid |
|
$4.60 more |
Amount that his sister spent on 5 glasses
= 5 x 6.50
= $32.50
Let the cost of 1 wine glass be 1 W.
If Ian's sister spent $4.60 less, each would pay the same amount.
10 W + 4.60 = 7 W + 32.50 - 4.60
10 W - 7 W = 32.50 - 4.60
3 W = 27.90
1 W = 27.90 ÷ 3 = 9.30
Total amount that Ian and his sister spent
= 10 W + 7 W + 32.50
= 17 W + 32.50
= 17 x 9.30 + 32.50
= 158.10 + 32.50
= $190.60
Answer(s): $190.60