Pouch U contains 50-cent coins and Pouch V contains 20-cent coins. There are 26 more coins in Pouch V than in Pouch U. The amount of money in Pouch U is 200¢ more than the amount of money in Pouch V. How many total coins are there?
| |
Pouch U |
Pouch V |
| Number |
1 u |
1 u + 26 |
| Value |
50¢ |
20¢ |
| Total value |
50 u |
20 u + 520 |
Total value of 50¢ coins in Pouch U
= 50 x 1 u
= 50 u
Total value of 20¢ coins in Pouch V
= 20 x (1 u + 26)
= 20 u + 520
The amount in Pouch U is 200¢ more than Pouch V. If another 200¢ is added into Pouch V, both Pouch U and Pouch V will have the same amounts of money.
50 u = 20 u + 520 + 200
50 u - 20 u = 520 + 200
30 u = 720
1 u = 720 ÷ 30 = 24
Total number of coins
= 1 u + (1 u + 26)
= 2 u + 26
= 2 x 24 + 26
= 48 + 26
= 74
Answer(s): 74
