Pouch T contains only 50-cent coins and Pouch U contains only 5-cent coins. There are 19 more coins in Pouch U than in Pouch T. The amount of money in Pouch T is $2.20 more than the amount of money in Pouch U. Find the total amount of money in both pouches.
|
Pouch T |
Pouch U |
Number |
1 u |
1 u + 19 |
Value |
50¢ |
5¢ |
Total value |
50 u |
5 u + 95 |
$1 = 100¢
$2.20 = 220¢
Total value of 50¢ coins in Pouch T
= 50 x 1 u
= 50 u
Total value of 5¢ coins in Pouch U
= 5(1 u + 19)
= 5 u + 95
The amount of money in Pouch T is $2.20 more than the amount of money in Pouch U. If another 220¢ is added into Pouch U, the total value of coins in Pouch T and Pouch U will be the same.
50 u = 5 u + 95 + 220
50 u - 5 u = 315
45 u = 315
1 u = 315 ÷ 45 = 7
Total amount in both pouches
= 50 u + (5 u + 95)
= 55 u + 95
= (55 x 7) + 95
= 385 + 95
= 480¢
480¢ = $4.80
Answer(s): $4.80