PSLE At a sale, Ryan bought 7 cups of the same kind. His cousin bought 5 such cups. She also bought 3 bowls at $2.50 each. Altogether, she spent $4.70 less than Ryan. What was the total amount of money Ryan and his cousin spent?
|
Ryan |
His cousin |
Items bought
|
7 cups
|
5 cups + 3 bowls = 5 cups + 7.50 |
Comparing the amounts paid |
$4.70 more |
|
Amount that his cousin spent on 3 bowls
= 3 x 2.50
= $7.50
Let the cost of 1 cup be 1 C.
If Ryan spent $4.70 less, each would pay the same amount.
7 C - 4.70 = 5 C + 7.50
7 C - 5 C = 7.50 + 4.70
7 C - 5 C = 12.20
2 C = 12.20
1 C = 12.20 ÷ 2 = 6.10
Total amount that Ryan and his cousin spent
= 7 C + 5 C + 7.50
= 12 C + 7.50
= 12 x 6.10 + 7.50
= 73.20 + 7.50
= $80.70
Answer(s): $80.70