Bottle T contains 50-cent coins and Bottle U contains 5-cent coins. There are 12 more coins in Bottle U than in Bottle T. The amount of money in Bottle T is 795¢ more than the amount of money in Bottle U. How many total coins are there?
| |
Bottle T |
Bottle U |
| Number |
1 u |
1 u + 12 |
| Value |
50¢ |
5¢ |
| Total value |
50 u |
5 u + 60 |
Total value of 50¢ coins in Bottle T
= 50 x 1 u
= 50 u
Total value of 5¢ coins in Bottle U
= 5 x (1 u + 12)
= 5 u + 60
The amount in Bottle T is 795¢ more than Bottle U. If another 795¢ is added into Bottle U, both Bottle T and Bottle U will have the same amounts of money.
50 u = 5 u + 60 + 795
50 u - 5 u = 60 + 795
45 u = 855
1 u = 855 ÷ 45 = 19
Total number of coins
= 1 u + (1 u + 12)
= 2 u + 12
= 2 x 19 + 12
= 38 + 12
= 50
Answer(s): 50
