Pouch T contains 20-cent coins and Pouch U contains 5-cent coins. There are 29 more coins in Pouch U than in Pouch T. The amount of money in Pouch T is 140¢ more than the amount of money in Pouch U. How many total coins are there?
|
Pouch T |
Pouch U |
Number |
1 u |
1 u + 29 |
Value |
20¢ |
5¢ |
Total value |
20 u |
5 u + 145 |
Total value of 20¢ coins in Pouch T
= 20 x 1 u
= 20 u
Total value of 5¢ coins in Pouch U
= 5 x (1 u + 29)
= 5 u + 145
The amount in Pouch T is 140¢ more than Pouch U. If another 140¢ is added into Pouch U, both Pouch T and Pouch U will have the same amounts of money.
20 u = 5 u + 145 + 140
20 u - 5 u = 145 + 140
15 u = 285
1 u = 285 ÷ 15 = 19
Total number of coins
= 1 u + (1 u + 29)
= 2 u + 29
= 2 x 19 + 29
= 38 + 29
= 67
Answer(s): 67