Pouch G contains 50-cent coins and Pouch H contains 20-cent coins. There are 13 more coins in Pouch H than in Pouch G. The amount of money in Pouch G is 400¢ more than the amount of money in Pouch H. How many total coins are there?
| |
Pouch G |
Pouch H |
| Number |
1 u |
1 u + 13 |
| Value |
50¢ |
20¢ |
| Total value |
50 u |
20 u + 260 |
Total value of 50¢ coins in Pouch G
= 50 x 1 u
= 50 u
Total value of 20¢ coins in Pouch H
= 20 x (1 u + 13)
= 20 u + 260
The amount in Pouch G is 400¢ more than Pouch H. If another 400¢ is added into Pouch H, both Pouch G and Pouch H will have the same amounts of money.
50 u = 20 u + 260 + 400
50 u - 20 u = 260 + 400
30 u = 660
1 u = 660 ÷ 30 = 22
Total number of coins
= 1 u + (1 u + 13)
= 2 u + 13
= 2 x 22 + 13
= 44 + 13
= 57
Answer(s): 57
