Pouch U contains 20-cent coins and Pouch V contains 5-cent coins. There are 29 more coins in Pouch V than in Pouch U. The amount of money in Pouch U is 305¢ more than the amount of money in Pouch V. How many total coins are there?
| |
Pouch U |
Pouch V |
| Number |
1 u |
1 u + 29 |
| Value |
20¢ |
5¢ |
| Total value |
20 u |
5 u + 145 |
Total value of 20¢ coins in Pouch U
= 20 x 1 u
= 20 u
Total value of 5¢ coins in Pouch V
= 5 x (1 u + 29)
= 5 u + 145
The amount in Pouch U is 305¢ more than Pouch V. If another 305¢ is added into Pouch V, both Pouch U and Pouch V will have the same amounts of money.
20 u = 5 u + 145 + 305
20 u - 5 u = 145 + 305
15 u = 450
1 u = 450 ÷ 15 = 30
Total number of coins
= 1 u + (1 u + 29)
= 2 u + 29
= 2 x 30 + 29
= 60 + 29
= 89
Answer(s): 89
