Coin Box U contains only 50-cent coins and Coin Box V contains only 10-cent coins. There are 10 more coins in Coin Box V than in Coin Box U. The amount of money in Coin Box U is $1.80 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 + 10 |
Value |
50¢ |
10¢ |
Total value |
50 u |
10 u + 100 |
$1 = 100¢
$1.80 = 180¢
Total value of 50¢ coins in Coin Box U
= 50 x 1 u
= 50 u
Total value of 10¢ coins in Coin Box V
= 10(1 u + 10)
= 10 u + 100
The amount of money in Coin Box U is $1.80 more than the amount of money in Coin Box V. If another 180¢ 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 = 10 u + 100 + 180
50 u - 10 u = 280
40 u = 280
1 u = 280 ÷ 40 = 7
Total amount in both coin boxes
= 50 u + (10 u + 100)
= 60 u + 100
= (60 x 7) + 100
= 420 + 100
= 520¢
520¢ = $5.20
Answer(s): $5.20