Pouch T contains 50-cent coins and Pouch U contains 5-cent coins. There are 40 more coins in Pouch U than in Pouch T. The amount of money in Pouch T is 1015¢ more than the amount of money in Pouch U. How many total coins are there?
| |
Pouch T |
Pouch U |
| Number |
1 u |
1 u + 40 |
| Value |
50¢ |
5¢ |
| Total value |
50 u |
5 u + 200 |
Total value of 50¢ coins in Pouch T
= 50 x 1 u
= 50 u
Total value of 5¢ coins in Pouch U
= 5 x (1 u + 40)
= 5 u + 200
The amount in Pouch T is 1015¢ more than Pouch U. If another 1015¢ is added into Pouch U, both Pouch T and Pouch U will have the same amounts of money.
50 u = 5 u + 200 + 1015
50 u - 5 u = 200 + 1015
45 u = 1215
1 u = 1215 ÷ 45 = 27
Total number of coins
= 1 u + (1 u + 40)
= 2 u + 40
= 2 x 27 + 40
= 54 + 40
= 94
Answer(s): 94
