PSLE At a sale, Justin bought 9 cups of the same kind. His aunt bought 7 such cups. She also bought 5 wine glasses at $1.70 each. Altogether, she spent $4.30 less than Justin. What was the total amount of money Justin and his aunt spent?
|
Justin |
His aunt |
Items bought
|
9 cups
|
7 cups + 5 wine glasses = 7 cups + 8.50 |
Comparing the amounts paid |
$4.30 more |
|
Amount that his aunt spent on 5 wine glasses
= 5 x 1.70
= $8.50
Let the cost of 1 cup be 1 C.
If Justin spent $4.30 less, each would pay the same amount.
9 C - 4.30 = 7 C + 8.50
9 C - 7 C = 8.50 + 4.30
9 C - 7 C = 12.80
2 C = 12.80
1 C = 12.80 ÷ 2 = 6.40
Total amount that Justin and his aunt spent
= 9 C + 7 C + 8.50
= 16 C + 8.50
= 16 x 6.40 + 8.50
= 102.40 + 8.50
= $110.90
Answer(s): $110.90