PSLE At a sale, Dylan bought 9 cups of the same kind. His friend bought 7 such cups. She also bought 5 bowls at $1.90 each. Altogether, she spent $2.70 less than Dylan. What was the total amount of money Dylan and his friend spent?
|
Dylan |
His friend |
Items bought
|
9 cups
|
7 cups + 5 bowls = 7 cups + 9.50 |
Comparing the amounts paid |
$2.70 more |
|
Amount that his friend spent on 5 bowls
= 5 x 1.90
= $9.50
Let the cost of 1 cup be 1 C.
If Dylan spent $2.70 less, each would pay the same amount.
9 C - 2.70 = 7 C + 9.50
9 C - 7 C = 9.50 + 2.70
9 C - 7 C = 12.20
2 C = 12.20
1 C = 12.20 ÷ 2 = 6.10
Total amount that Dylan and his friend spent
= 9 C + 7 C + 9.50
= 16 C + 9.50
= 16 x 6.10 + 9.50
= 97.60 + 9.50
= $107.10
Answer(s): $107.10