PSLE At a sale, Gabriel bought 9 cups of the same kind. His aunt bought 7 such cups. She also bought 3 glasses at $3.40 each. Altogether, she spent $8.20 less than Gabriel. What was the total amount of money Gabriel and his aunt spent?
|
Gabriel |
His aunt |
Items bought
|
9 cups
|
7 cups + 3 glasses = 7 cups + 10.20 |
Comparing the amounts paid |
$8.20 more |
|
Amount that his aunt spent on 3 glasses
= 3 x 3.40
= $10.20
Let the cost of 1 cup be 1 C.
If Gabriel spent $8.20 less, each would pay the same amount.
9 C - 8.20 = 7 C + 10.20
9 C - 7 C = 10.20 + 8.20
9 C - 7 C = 18.40
2 C = 18.40
1 C = 18.40 ÷ 2 = 9.20
Total amount that Gabriel and his aunt spent
= 9 C + 7 C + 10.20
= 16 C + 10.20
= 16 x 9.20 + 10.20
= 147.20 + 10.20
= $157.40
Answer(s): $157.40