Pouch N contains 10-cent coins and Pouch P contains 5-cent coins. There are 18 more coins in Pouch P than in Pouch N. The amount of money in Pouch N is 30¢ more than the amount of money in Pouch P. How many total coins are there?
| |
Pouch N |
Pouch P |
| Number |
1 u |
1 u + 18 |
| Value |
10¢ |
5¢ |
| Total value |
10 u |
5 u + 90 |
Total value of 10¢ coins in Pouch N
= 10 x 1 u
= 10 u
Total value of 5¢ coins in Pouch P
= 5 x (1 u + 18)
= 5 u + 90
The amount in Pouch N is 30¢ more than Pouch P. If another 30¢ is added into Pouch P, both Pouch N and Pouch P will have the same amounts of money.
10 u = 5 u + 90 + 30
10 u - 5 u = 90 + 30
5 u = 120
1 u = 120 ÷ 5 = 24
Total number of coins
= 1 u + (1 u + 18)
= 2 u + 18
= 2 x 24 + 18
= 48 + 18
= 66
Answer(s): 66
