Pouch H contains only 50-cent coins and Pouch J contains only 5-cent coins. There are 14 more coins in Pouch J than in Pouch H. The amount of money in Pouch H is $1.55 more than the amount of money in Pouch J. Find the total amount of money in both pouches.
| |
Pouch H |
Pouch J |
| Number |
1 u |
1 u + 14 |
| Value |
50¢ |
5¢ |
| Total value |
50 u |
5 u + 70 |
$1 = 100¢
$1.55 = 155¢
Total value of 50¢ coins in Pouch H
= 50 x 1 u
= 50 u
Total value of 5¢ coins in Pouch J
= 5(1 u + 14)
= 5 u + 70
The amount of money in Pouch H is $1.55 more than the amount of money in Pouch J. If another 155¢ is added into Pouch J, the total value of coins in Pouch H and Pouch J will be the same.
50 u = 5 u + 70 + 155
50 u - 5 u = 225
45 u = 225
1 u = 225 ÷ 45 = 5
Total amount in both pouches
= 50 u + (5 u + 70)
= 55 u + 70
= (55 x 5) + 70
= 275 + 70
= 345¢
345¢ = $3.45
Answer(s): $3.45
