Pouch H contains only 50-cent coins and Pouch J contains only 5-cent coins. There are 15 more coins in Pouch J than in Pouch H. The amount of money in Pouch H is $3.75 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 + 15 |
Value |
50¢ |
5¢ |
Total value |
50 u |
5 u + 75 |
$1 = 100¢
$3.75 = 375¢
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 + 15)
= 5 u + 75
The amount of money in Pouch H is $3.75 more than the amount of money in Pouch J. If another 375¢ is added into Pouch J, the total value of coins in Pouch H and Pouch J will be the same.
50 u = 5 u + 75 + 375
50 u - 5 u = 450
45 u = 450
1 u = 450 ÷ 45 = 10
Total amount in both pouches
= 50 u + (5 u + 75)
= 55 u + 75
= (55 x 10) + 75
= 550 + 75
= 625¢
625¢ = $6.25
Answer(s): $6.25