PSLE At a sale, Vincent bought 9 wine glasses of the same kind. His friend bought 7 such wine glasses. She also bought 5 cups at $3.70 each. Altogether, she spent $7.70 more than Vincent. What was the total amount of money Vincent and his friend spent?
|
Vincent |
His friend |
Items bought
|
9 wine glasses
|
7 wine glasses + 5 cups = 7 wine glasses + 18.50 |
Comparing the amounts paid |
|
$7.70 more |
Amount that his friend spent on 5 cups
= 5 x 3.70
= $18.50
Let the cost of 1 wine glass be 1 W.
If Vincent's friend spent $7.70 less, each would pay the same amount.
9 W + 7.70 = 7 W + 18.50 - 7.70
9 W - 7 W = 18.50 - 7.70
2 W = 10.80
1 W = 10.80 ÷ 2 = 5.40
Total amount that Vincent and his friend spent
= 9 W + 7 W + 18.50
= 16 W + 18.50
= 16 x 5.40 + 18.50
= 86.40 + 18.50
= $104.90
Answer(s): $104.90