Bag U contains only 50-cent coins and Bag V contains only 10-cent coins. There are 18 more coins in Bag V than in Bag U. The amount of money in Bag U is $2.20 more than the amount of money in Bag V. Find the total amount of money in both bags.
| |
Bag U |
Bag V |
| Number |
1 u |
1 u + 18 |
| Value |
50¢ |
10¢ |
| Total value |
50 u |
10 u + 180 |
$1 = 100¢
$2.20 = 220¢
Total value of 50¢ coins in Bag U
= 50 x 1 u
= 50 u
Total value of 10¢ coins in Bag V
= 10(1 u + 18)
= 10 u + 180
The amount of money in Bag U is $2.20 more than the amount of money in Bag V. If another 220¢ is added into Bag V, the total value of coins in Bag U and Bag V will be the same.
50 u = 10 u + 180 + 220
50 u - 10 u = 400
40 u = 400
1 u = 400 ÷ 40 = 10
Total amount in both bags
= 50 u + (10 u + 180)
= 60 u + 180
= (60 x 10) + 180
= 600 + 180
= 780¢
780¢ = $7.80
Answer(s): $7.80
