Bottle V contains 50-cent coins and Bottle W contains 5-cent coins. There are 20 more coins in Bottle W than in Bottle V. The amount of money in Bottle V is 710¢ more than the amount of money in Bottle W. How many total coins are there?
| |
Bottle V |
Bottle W |
| Number |
1 u |
1 u + 20 |
| Value |
50¢ |
5¢ |
| Total value |
50 u |
5 u + 100 |
Total value of 50¢ coins in Bottle V
= 50 x 1 u
= 50 u
Total value of 5¢ coins in Bottle W
= 5 x (1 u + 20)
= 5 u + 100
The amount in Bottle V is 710¢ more than Bottle W. If another 710¢ is added into Bottle W, both Bottle V and Bottle W will have the same amounts of money.
50 u = 5 u + 100 + 710
50 u - 5 u = 100 + 710
45 u = 810
1 u = 810 ÷ 45 = 18
Total number of coins
= 1 u + (1 u + 20)
= 2 u + 20
= 2 x 18 + 20
= 36 + 20
= 56
Answer(s): 56
