Bag T contains only 50-cent coins and Bag U contains only 10-cent coins. There are 17 more coins in Bag U than in Bag T. The amount of money in Bag T is $1.50 more than the amount of money in Bag U. Find the total amount of money in both bags.
|
Bag T |
Bag U |
Number |
1 u |
1 u + 17 |
Value |
50¢ |
10¢ |
Total value |
50 u |
10 u + 170 |
$1 = 100¢
$1.50 = 150¢
Total value of 50¢ coins in Bag T
= 50 x 1 u
= 50 u
Total value of 10¢ coins in Bag U
= 10(1 u + 17)
= 10 u + 170
The amount of money in Bag T is $1.50 more than the amount of money in Bag U. If another 150¢ is added into Bag U, the total value of coins in Bag T and Bag U will be the same.
50 u = 10 u + 170 + 150
50 u - 10 u = 320
40 u = 320
1 u = 320 ÷ 40 = 8
Total amount in both bags
= 50 u + (10 u + 170)
= 60 u + 170
= (60 x 8) + 170
= 480 + 170
= 650¢
650¢ = $6.50
Answer(s): $6.50