Pouch Y contains 20-cent coins and Pouch Z contains 5-cent coins. There are 37 more coins in Pouch Z than in Pouch Y. The amount of money in Pouch Y is 115¢ more than the amount of money in Pouch Z. How many total coins are there?
| |
Pouch Y |
Pouch Z |
| Number |
1 u |
1 u + 37 |
| Value |
20¢ |
5¢ |
| Total value |
20 u |
5 u + 185 |
Total value of 20¢ coins in Pouch Y
= 20 x 1 u
= 20 u
Total value of 5¢ coins in Pouch Z
= 5 x (1 u + 37)
= 5 u + 185
The amount in Pouch Y is 115¢ more than Pouch Z. If another 115¢ is added into Pouch Z, both Pouch Y and Pouch Z will have the same amounts of money.
20 u = 5 u + 185 + 115
20 u - 5 u = 185 + 115
15 u = 300
1 u = 300 ÷ 15 = 20
Total number of coins
= 1 u + (1 u + 37)
= 2 u + 37
= 2 x 20 + 37
= 40 + 37
= 77
Answer(s): 77
