Pouch T contains 50-cent coins and Pouch U contains 10-cent coins. There are 22 more coins in Pouch U than in Pouch T. The amount of money in Pouch T is 900¢ more than the amount of money in Pouch U. How many total coins are there?
|
Pouch T |
Pouch U |
Number |
1 u |
1 u + 22 |
Value |
50¢ |
10¢ |
Total value |
50 u |
10 u + 220 |
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 + 22)
= 10 u + 220
The amount in Pouch T is 900¢ more than Pouch U. If another 900¢ is added into Pouch U, both Pouch T and Pouch U will have the same amounts of money.
50 u = 10 u + 220 + 900
50 u - 10 u = 220 + 900
40 u = 1120
1 u = 1120 ÷ 40 = 28
Total number of coins
= 1 u + (1 u + 22)
= 2 u + 22
= 2 x 28 + 22
= 56 + 22
= 78
Answer(s): 78