PSLE At a sale, Michael bought 7 wine glasses of the same kind. His aunt bought 4 such wine glasses. She also bought 5 bowls at $5.50 each. Altogether, she spent $9.20 more than Michael. What was the total amount of money Michael and his aunt spent?
|
Michael |
His aunt |
Items bought
|
7 wine glasses
|
4 wine glasses + 5 bowls = 4 wine glasses + 27.50 |
Comparing the amounts paid |
|
$9.20 more |
Amount that his aunt spent on 5 bowls
= 5 x 5.50
= $27.50
Let the cost of 1 wine glass be 1 W.
If Michael's aunt spent $9.20 less, each would pay the same amount.
7 W + 9.20 = 4 W + 27.50 - 9.20
7 W - 4 W = 27.50 - 9.20
3 W = 18.30
1 W = 18.30 ÷ 3 = 6.10
Total amount that Michael and his aunt spent
= 7 W + 4 W + 27.50
= 11 W + 27.50
= 11 x 6.10 + 27.50
= 67.10 + 27.50
= $94.60
Answer(s): $94.60