Bottle T contains only 50-cent coins and Bottle U contains only 5-cent coins. There are 11 more coins in Bottle U than in Bottle T. The amount of money in Bottle T is $3.95 more than the amount of money in Bottle U. Find the total amount of money in both bottles.
| |
Bottle T |
Bottle U |
| Number |
1 u |
1 u + 11 |
| Value |
50¢ |
5¢ |
| Total value |
50 u |
5 u + 55 |
$1 = 100¢
$3.95 = 395¢
Total value of 50¢ coins in Bottle T
= 50 x 1 u
= 50 u
Total value of 5¢ coins in Bottle U
= 5(1 u + 11)
= 5 u + 55
The amount of money in Bottle T is $3.95 more than the amount of money in Bottle U. If another 395¢ is added into Bottle U, the total value of coins in Bottle T and Bottle U will be the same.
50 u = 5 u + 55 + 395
50 u - 5 u = 450
45 u = 450
1 u = 450 ÷ 45 = 10
Total amount in both bottles
= 50 u + (5 u + 55)
= 55 u + 55
= (55 x 10) + 55
= 550 + 55
= 605¢
605¢ = $6.05
Answer(s): $6.05
