Pouch F contains 50-cent coins and Pouch G contains 5-cent coins. There are 21 more coins in Pouch G than in Pouch F. The amount of money in Pouch F is 480¢ more than the amount of money in Pouch G. How many total coins are there?
| |
Pouch F |
Pouch G |
| Number |
1 u |
1 u + 21 |
| Value |
50¢ |
5¢ |
| Total value |
50 u |
5 u + 105 |
Total value of 50¢ coins in Pouch F
= 50 x 1 u
= 50 u
Total value of 5¢ coins in Pouch G
= 5 x (1 u + 21)
= 5 u + 105
The amount in Pouch F is 480¢ more than Pouch G. If another 480¢ is added into Pouch G, both Pouch F and Pouch G will have the same amounts of money.
50 u = 5 u + 105 + 480
50 u - 5 u = 105 + 480
45 u = 585
1 u = 585 ÷ 45 = 13
Total number of coins
= 1 u + (1 u + 21)
= 2 u + 21
= 2 x 13 + 21
= 26 + 21
= 47
Answer(s): 47
