Pouch V contains 50-cent coins and Pouch W contains 10-cent coins. There are 21 more coins in Pouch W than in Pouch V. The amount of money in Pouch V is 830¢ more than the amount of money in Pouch W. How many total coins are there?
| |
Pouch V |
Pouch W |
| Number |
1 u |
1 u + 21 |
| Value |
50¢ |
10¢ |
| Total value |
50 u |
10 u + 210 |
Total value of 50¢ coins in Pouch V
= 50 x 1 u
= 50 u
Total value of 10¢ coins in Pouch W
= 10 x (1 u + 21)
= 10 u + 210
The amount in Pouch V is 830¢ more than Pouch W. If another 830¢ is added into Pouch W, both Pouch V and Pouch W will have the same amounts of money.
50 u = 10 u + 210 + 830
50 u - 10 u = 210 + 830
40 u = 1040
1 u = 1040 ÷ 40 = 26
Total number of coins
= 1 u + (1 u + 21)
= 2 u + 21
= 2 x 26 + 21
= 52 + 21
= 73
Answer(s): 73
