PSLE At a sale, Archie bought 6 glasses of the same kind. His aunt bought 3 such glasses. She also bought 5 cups at $6.70 each. Altogether, she spent $5.90 more than Archie. What was the total amount of money Archie and his aunt spent?
|
Archie |
His aunt |
Items bought
|
6 glasses
|
3 glasses + 5 cups = 3 glasses + 33.50 |
Comparing the amounts paid |
|
$5.90 more |
Amount that his aunt spent on 5 cups
= 5 x 6.70
= $33.50
Let the cost of 1 glass be 1 G.
If Archie's aunt spent $5.90 less, each would pay the same amount.
6 G + 5.90 = 3 G + 33.50 - 5.90
6 G - 3 G = 33.50 - 5.90
3 G = 27.60
1 G = 27.60 ÷ 3 = 9.20
Total amount that Archie and his aunt spent
= 6 G + 3 G + 33.50
= 9 G + 33.50
= 9 x 9.20 + 33.50
= 82.80 + 33.50
= $116.30
Answer(s): $116.30