Coin Box U contains only 50-cent coins and Coin Box V contains only 5-cent coins. There are 25 more coins in Coin Box V than in Coin Box U. The amount of money in Coin Box U is $1.45 more than the amount of money in Coin Box V. Find the total amount of money in both coin boxes.
| |
Coin Box U |
Coin Box V |
| Number |
1 u |
1 u + 25 |
| Value |
50¢ |
5¢ |
| Total value |
50 u |
5 u + 125 |
$1 = 100¢
$1.45 = 145¢
Total value of 50¢ coins in Coin Box U
= 50 x 1 u
= 50 u
Total value of 5¢ coins in Coin Box V
= 5(1 u + 25)
= 5 u + 125
The amount of money in Coin Box U is $1.45 more than the amount of money in Coin Box V. If another 145¢ is added into Coin Box V, the total value of coins in Coin Box U and Coin Box V will be the same.
50 u = 5 u + 125 + 145
50 u - 5 u = 270
45 u = 270
1 u = 270 ÷ 45 = 6
Total amount in both coin boxes
= 50 u + (5 u + 125)
= 55 u + 125
= (55 x 6) + 125
= 330 + 125
= 455¢
455¢ = $4.55
Answer(s): $4.55
