PSLE At a sale, David bought 10 mugs of the same kind. His aunt bought 8 such mugs. She also bought 5 bowls at $5.50 each. Altogether, she spent $16.10 more than David. What was the total amount of money David and his aunt spent?
|
David |
His aunt |
Items bought
|
10 mugs
|
8 mugs + 5 bowls = 8 mugs + 27.50 |
Comparing the amounts paid |
|
$16.10 more |
Amount that his aunt spent on 5 bowls
= 5 x 5.50
= $27.50
Let the cost of 1 mug be 1 M.
If David's aunt spent $16.10 less, each would pay the same amount.
10 M + 16.10 = 8 M + 27.50 - 16.10
10 M - 8 M = 27.50 - 16.10
2 M = 11.40
1 M = 11.40 ÷ 2 = 5.70
Total amount that David and his aunt spent
= 10 M + 8 M + 27.50
= 18 M + 27.50
= 18 x 5.70 + 27.50
= 102.60 + 27.50
= $130.10
Answer(s): $130.10