Pouch T contains 50-cent coins and Pouch U contains 10-cent coins. There are 38 more coins in Pouch U than in Pouch T. The amount of money in Pouch T is 140¢ more than the amount of money in Pouch U. How many total coins are there?
| |
Pouch T |
Pouch U |
| Number |
1 u |
1 u + 38 |
| Value |
50¢ |
10¢ |
| Total value |
50 u |
10 u + 380 |
Total value of 50¢ coins in Pouch T
= 50 x 1 u
= 50 u
Total value of 10¢ coins in Pouch U
= 10 x (1 u + 38)
= 10 u + 380
The amount in Pouch T is 140¢ more than Pouch U. If another 140¢ is added into Pouch U, both Pouch T and Pouch U will have the same amounts of money.
50 u = 10 u + 380 + 140
50 u - 10 u = 380 + 140
40 u = 520
1 u = 520 ÷ 40 = 13
Total number of coins
= 1 u + (1 u + 38)
= 2 u + 38
= 2 x 13 + 38
= 26 + 38
= 64
Answer(s): 64
