Pouch N contains 20-cent coins and Pouch P contains 5-cent coins. There are 12 more coins in Pouch P than in Pouch N. The amount of money in Pouch N is 330¢ more than the amount of money in Pouch P. How many total coins are there?
|
Pouch N |
Pouch P |
Number |
1 u |
1 u + 12 |
Value |
20¢ |
5¢ |
Total value |
20 u |
5 u + 60 |
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 + 12)
= 5 u + 60
The amount in Pouch N is 330¢ more than Pouch P. If another 330¢ is added into Pouch P, both Pouch N and Pouch P will have the same amounts of money.
20 u = 5 u + 60 + 330
20 u - 5 u = 60 + 330
15 u = 390
1 u = 390 ÷ 15 = 26
Total number of coins
= 1 u + (1 u + 12)
= 2 u + 12
= 2 x 26 + 12
= 52 + 12
= 64
Answer(s): 64