PSLE At a sale, Xavier bought 10 mugs of the same kind. His sister bought 6 such mugs. She also bought 2 glasses at $7.90 each. Altogether, she spent $23.40 less than Xavier. What was the total amount of money Xavier and his sister spent?
|
Xavier |
His sister |
Items bought
|
10 mugs
|
6 mugs + 2 glasses = 6 mugs + 15.80 |
Comparing the amounts paid |
$23.40 more |
|
Amount that his sister spent on 2 glasses
= 2 x 7.90
= $15.80
Let the cost of 1 mug be 1 M.
If Xavier spent $23.40 less, each would pay the same amount.
10 M - 23.40 = 6 M + 15.80
10 M - 6 M = 15.80 + 23.40
10 M - 6 M = 39.20
4 M = 39.20
1 M = 39.20 ÷ 4 = 9.80
Total amount that Xavier and his sister spent
= 10 M + 6 M + 15.80
= 16 M + 15.80
= 16 x 9.80 + 15.80
= 156.80 + 15.80
= $172.60
Answer(s): $172.60