PSLE At a sale, Asher bought 7 cups of the same kind. His sister bought 4 such cups. She also bought 5 wine glasses at $5.10 each. Altogether, she spent $5.70 more than Asher. What was the total amount of money Asher and his sister spent?
|
Asher |
His sister |
Items bought
|
7 cups
|
4 cups + 5 wine glasses = 4 cups + 25.50 |
Comparing the amounts paid |
|
$5.70 more |
Amount that his sister spent on 5 wine glasses
= 5 x 5.10
= $25.50
Let the cost of 1 cup be 1 C.
If Asher's sister spent $5.70 less, each would pay the same amount.
7 C + 5.70 = 4 C + 25.50 - 5.70
7 C - 4 C = 25.50 - 5.70
3 C = 19.80
1 C = 19.80 ÷ 3 = 6.60
Total amount that Asher and his sister spent
= 7 C + 4 C + 25.50
= 11 C + 25.50
= 11 x 6.60 + 25.50
= 72.60 + 25.50
= $98.10
Answer(s): $98.10