Bag V contains only 50-cent coins and Bag W contains only 5-cent coins. There are 19 more coins in Bag W than in Bag V. The amount of money in Bag V is $2.20 more than the amount of money in Bag W. Find the total amount of money in both bags.
|
Bag V |
Bag W |
Number |
1 u |
1 u + 19 |
Value |
50¢ |
5¢ |
Total value |
50 u |
5 u + 95 |
$1 = 100¢
$2.20 = 220¢
Total value of 50¢ coins in Bag V
= 50 x 1 u
= 50 u
Total value of 5¢ coins in Bag W
= 5(1 u + 19)
= 5 u + 95
The amount of money in Bag V is $2.20 more than the amount of money in Bag W. If another 220¢ is added into Bag W, the total value of coins in Bag V and Bag W will be the same.
50 u = 5 u + 95 + 220
50 u - 5 u = 315
45 u = 315
1 u = 315 ÷ 45 = 7
Total amount in both bags
= 50 u + (5 u + 95)
= 55 u + 95
= (55 x 7) + 95
= 385 + 95
= 480¢
480¢ = $4.80
Answer(s): $4.80