Pouch N contains 20-cent coins and Pouch P contains 5-cent coins. There are 25 more coins in Pouch P than in Pouch N. The amount of money in Pouch N is 115¢ more than the amount of money in Pouch P. How many total coins are there?
| |
Pouch N |
Pouch P |
| Number |
1 u |
1 u + 25 |
| Value |
20¢ |
5¢ |
| Total value |
20 u |
5 u + 125 |
Total value of 20¢ coins in Pouch N
= 20 x 1 u
= 20 u
Total value of 5¢ coins in Pouch P
= 5 x (1 u + 25)
= 5 u + 125
The amount in Pouch N is 115¢ more than Pouch P. If another 115¢ is added into Pouch P, both Pouch N and Pouch P will have the same amounts of money.
20 u = 5 u + 125 + 115
20 u - 5 u = 125 + 115
15 u = 240
1 u = 240 ÷ 15 = 16
Total number of coins
= 1 u + (1 u + 25)
= 2 u + 25
= 2 x 16 + 25
= 32 + 25
= 57
Answer(s): 57
