PSLE At a sale, Elijah bought 6 wine glasses of the same kind. His sister bought 3 such wine glasses. She also bought 4 mugs at $6.30 each. Altogether, she spent $9.30 more than Elijah. What was the total amount of money Elijah and his sister spent?
|
Elijah |
His sister |
Items bought
|
6 wine glasses
|
3 wine glasses + 4 mugs = 3 wine glasses + 25.20 |
Comparing the amounts paid |
|
$9.30 more |
Amount that his sister spent on 4 mugs
= 4 x 6.30
= $25.20
Let the cost of 1 wine glass be 1 W.
If Elijah's sister spent $9.30 less, each would pay the same amount.
6 W + 9.30 = 3 W + 25.20 - 9.30
6 W - 3 W = 25.20 - 9.30
3 W = 15.90
1 W = 15.90 ÷ 3 = 5.30
Total amount that Elijah and his sister spent
= 6 W + 3 W + 25.20
= 9 W + 25.20
= 9 x 5.30 + 25.20
= 47.70 + 25.20
= $72.90
Answer(s): $72.90