Tin Can T contains 50-cent coins and Tin Can U contains 10-cent coins. There are 34 more coins in Tin Can U than in Tin Can T. The amount of money in Tin Can T is 180¢ 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 + 34 |
Value |
50¢ |
10¢ |
Total value |
50 u |
10 u + 340 |
Total value of 50¢ coins in Tin Can T
= 50 x 1 u
= 50 u
Total value of 10¢ coins in Tin Can U
= 10 x (1 u + 34)
= 10 u + 340
The amount in Tin Can T is 180¢ more than Tin Can U. If another 180¢ is added into Tin Can U, both Tin Can T and Tin Can U will have the same amounts of money.
50 u = 10 u + 340 + 180
50 u - 10 u = 340 + 180
40 u = 520
1 u = 520 ÷ 40 = 13
Total number of coins
= 1 u + (1 u + 34)
= 2 u + 34
= 2 x 13 + 34
= 26 + 34
= 60
Answer(s): 60