PSLE At a sale, Fabian bought 8 mugs of the same kind. His aunt bought 4 such mugs. She also bought 3 wine glasses at $2.10 each. Altogether, she spent $20.90 less than Fabian. What was the total amount of money Fabian and his aunt spent?
|
Fabian |
His aunt |
Items bought
|
8 mugs
|
4 mugs + 3 wine glasses = 4 mugs + 6.30 |
Comparing the amounts paid |
$20.90 more |
|
Amount that his aunt spent on 3 wine glasses
= 3 x 2.10
= $6.30
Let the cost of 1 mug be 1 M.
If Fabian spent $20.90 less, each would pay the same amount.
8 M - 20.90 = 4 M + 6.30
8 M - 4 M = 6.30 + 20.90
8 M - 4 M = 27.20
4 M = 27.20
1 M = 27.20 ÷ 4 = 6.80
Total amount that Fabian and his aunt spent
= 8 M + 4 M + 6.30
= 12 M + 6.30
= 12 x 6.80 + 6.30
= 81.60 + 6.30
= $87.90
Answer(s): $87.90