Bottle U contains only 50-cent coins and Bottle V contains only 5-cent coins. There are 14 more coins in Bottle V than in Bottle U. The amount of money in Bottle U is $3.35 more than the amount of money in Bottle V. Find the total amount of money in both bottles.
| |
Bottle U |
Bottle V |
| Number |
1 u |
1 u + 14 |
| Value |
50¢ |
5¢ |
| Total value |
50 u |
5 u + 70 |
$1 = 100¢
$3.35 = 335¢
Total value of 50¢ coins in Bottle U
= 50 x 1 u
= 50 u
Total value of 5¢ coins in Bottle V
= 5(1 u + 14)
= 5 u + 70
The amount of money in Bottle U is $3.35 more than the amount of money in Bottle V. If another 335¢ is added into Bottle V, the total value of coins in Bottle U and Bottle V will be the same.
50 u = 5 u + 70 + 335
50 u - 5 u = 405
45 u = 405
1 u = 405 ÷ 45 = 9
Total amount in both bottles
= 50 u + (5 u + 70)
= 55 u + 70
= (55 x 9) + 70
= 495 + 70
= 565¢
565¢ = $5.65
Answer(s): $5.65
