Bottle U contains 50-cent coins and Bottle V contains 10-cent coins. There are 22 more coins in Bottle V than in Bottle U. The amount of money in Bottle U is 260¢ more than the amount of money in Bottle V. How many total coins are there?
| |
Bottle U |
Bottle V |
| Number |
1 u |
1 u + 22 |
| Value |
50¢ |
10¢ |
| Total value |
50 u |
10 u + 220 |
Total value of 50¢ coins in Bottle U
= 50 x 1 u
= 50 u
Total value of 10¢ coins in Bottle V
= 10 x (1 u + 22)
= 10 u + 220
The amount in Bottle U is 260¢ more than Bottle V. If another 260¢ is added into Bottle V, both Bottle U and Bottle V will have the same amounts of money.
50 u = 10 u + 220 + 260
50 u - 10 u = 220 + 260
40 u = 480
1 u = 480 ÷ 40 = 12
Total number of coins
= 1 u + (1 u + 22)
= 2 u + 22
= 2 x 12 + 22
= 24 + 22
= 46
Answer(s): 46
