Pouch L contains 50-cent coins and Pouch M contains 5-cent coins. There are 20 more coins in Pouch M than in Pouch L. The amount of money in Pouch L is 665¢ more than the amount of money in Pouch M. How many total coins are there?
| |
Pouch L |
Pouch M |
| Number |
1 u |
1 u + 20 |
| Value |
50¢ |
5¢ |
| Total value |
50 u |
5 u + 100 |
Total value of 50¢ coins in Pouch L
= 50 x 1 u
= 50 u
Total value of 5¢ coins in Pouch M
= 5 x (1 u + 20)
= 5 u + 100
The amount in Pouch L is 665¢ more than Pouch M. If another 665¢ is added into Pouch M, both Pouch L and Pouch M will have the same amounts of money.
50 u = 5 u + 100 + 665
50 u - 5 u = 100 + 665
45 u = 765
1 u = 765 ÷ 45 = 17
Total number of coins
= 1 u + (1 u + 20)
= 2 u + 20
= 2 x 17 + 20
= 34 + 20
= 54
Answer(s): 54
