Coin Box E contains only 50-cent coins and Coin Box F contains only 10-cent coins. There are 14 more coins in Coin Box F than in Coin Box E. The amount of money in Coin Box E is $1.40 more than the amount of money in Coin Box F. Find the total amount of money in both coin boxes.
| |
Coin Box E |
Coin Box F |
| Number |
1 u |
1 u + 14 |
| Value |
50¢ |
10¢ |
| Total value |
50 u |
10 u + 140 |
$1 = 100¢
$1.40 = 140¢
Total value of 50¢ coins in Coin Box E
= 50 x 1 u
= 50 u
Total value of 10¢ coins in Coin Box F
= 10(1 u + 14)
= 10 u + 140
The amount of money in Coin Box E is $1.40 more than the amount of money in Coin Box F. If another 140¢ is added into Coin Box F, the total value of coins in Coin Box E and Coin Box F will be the same.
50 u = 10 u + 140 + 140
50 u - 10 u = 280
40 u = 280
1 u = 280 ÷ 40 = 7
Total amount in both coin boxes
= 50 u + (10 u + 140)
= 60 u + 140
= (60 x 7) + 140
= 420 + 140
= 560¢
560¢ = $5.60
Answer(s): $5.60
