Coin Box U contains 50-cent coins and Coin Box V contains 20-cent coins. There are 24 more coins in Coin Box V than in Coin Box U. The amount of money in Coin Box U is 30¢ more than the amount of money in Coin Box V. How many total coins are there?
| |
Coin Box U |
Coin Box V |
| Number |
1 u |
1 u + 24 |
| Value |
50¢ |
20¢ |
| Total value |
50 u |
20 u + 480 |
Total value of 50¢ coins in Coin Box U
= 50 x 1 u
= 50 u
Total value of 20¢ coins in Coin Box V
= 20 x (1 u + 24)
= 20 u + 480
The amount in Coin Box U is 30¢ more than Coin Box V. If another 30¢ is added into Coin Box V, both Coin Box U and Coin Box V will have the same amounts of money.
50 u = 20 u + 480 + 30
50 u - 20 u = 480 + 30
30 u = 510
1 u = 510 ÷ 30 = 17
Total number of coins
= 1 u + (1 u + 24)
= 2 u + 24
= 2 x 17 + 24
= 34 + 24
= 58
Answer(s): 58
