Pouch G contains 20-cent coins and Pouch H contains 5-cent coins. There are 19 more coins in Pouch H than in Pouch G. The amount of money in Pouch G is 115¢ more than the amount of money in Pouch H. How many total coins are there?
| |
Pouch G |
Pouch H |
| Number |
1 u |
1 u + 19 |
| Value |
20¢ |
5¢ |
| Total value |
20 u |
5 u + 95 |
Total value of 20¢ coins in Pouch G
= 20 x 1 u
= 20 u
Total value of 5¢ coins in Pouch H
= 5 x (1 u + 19)
= 5 u + 95
The amount in Pouch G is 115¢ more than Pouch H. If another 115¢ is added into Pouch H, both Pouch G and Pouch H will have the same amounts of money.
20 u = 5 u + 95 + 115
20 u - 5 u = 95 + 115
15 u = 210
1 u = 210 ÷ 15 = 14
Total number of coins
= 1 u + (1 u + 19)
= 2 u + 19
= 2 x 14 + 19
= 28 + 19
= 47
Answer(s): 47
