Bag V contains 50-cent coins and Bag W contains 5-cent coins. There are 15 more coins in Bag W than in Bag V. The amount of money in Bag V is 510¢ more than the amount of money in Bag W. How many total coins are there?
|
Bag V |
Bag W |
Number |
1 u |
1 u + 15 |
Value |
50¢ |
5¢ |
Total value |
50 u |
5 u + 75 |
Total value of 50¢ coins in Bag V
= 50 x 1 u
= 50 u
Total value of 5¢ coins in Bag W
= 5 x (1 u + 15)
= 5 u + 75
The amount in Bag V is 510¢ more than Bag W. If another 510¢ is added into Bag W, both Bag V and Bag W will have the same amounts of money.
50 u = 5 u + 75 + 510
50 u - 5 u = 75 + 510
45 u = 585
1 u = 585 ÷ 45 = 13
Total number of coins
= 1 u + (1 u + 15)
= 2 u + 15
= 2 x 13 + 15
= 26 + 15
= 41
Answer(s): 41