Tin Can T contains 50-cent coins and Tin Can U contains 20-cent coins. There are 11 more coins in Tin Can U than in Tin Can T. The amount of money in Tin Can T is 680¢ more than the amount of money in Tin Can U. How many total coins are there?
| |
Tin Can T |
Tin Can U |
| Number |
1 u |
1 u + 11 |
| Value |
50¢ |
20¢ |
| Total value |
50 u |
20 u + 220 |
Total value of 50¢ coins in Tin Can T
= 50 x 1 u
= 50 u
Total value of 20¢ coins in Tin Can U
= 20 x (1 u + 11)
= 20 u + 220
The amount in Tin Can T is 680¢ more than Tin Can U. If another 680¢ is added into Tin Can U, both Tin Can T and Tin Can U will have the same amounts of money.
50 u = 20 u + 220 + 680
50 u - 20 u = 220 + 680
30 u = 900
1 u = 900 ÷ 30 = 30
Total number of coins
= 1 u + (1 u + 11)
= 2 u + 11
= 2 x 30 + 11
= 60 + 11
= 71
Answer(s): 71
