Bag V contains 50-cent coins and Bag W contains 20-cent coins. There are 12 more coins in Bag W than in Bag V. The amount of money in Bag V is 180¢ more than the amount of money in Bag W. How many total coins are there?
| |
Bag V |
Bag W |
| Number |
1 u |
1 u + 12 |
| Value |
50¢ |
20¢ |
| Total value |
50 u |
20 u + 240 |
Total value of 50¢ coins in Bag V
= 50 x 1 u
= 50 u
Total value of 20¢ coins in Bag W
= 20 x (1 u + 12)
= 20 u + 240
The amount in Bag V is 180¢ more than Bag W. If another 180¢ is added into Bag W, both Bag V and Bag W will have the same amounts of money.
50 u = 20 u + 240 + 180
50 u - 20 u = 240 + 180
30 u = 420
1 u = 420 ÷ 30 = 14
Total number of coins
= 1 u + (1 u + 12)
= 2 u + 12
= 2 x 14 + 12
= 28 + 12
= 40
Answer(s): 40
