Bag U contains 20-cent coins and Bag V contains 5-cent coins. There are 30 more coins in Bag V than in Bag U. The amount of money in Bag U is 45¢ more than the amount of money in Bag V. How many total coins are there?
| |
Bag U |
Bag V |
| Number |
1 u |
1 u + 30 |
| Value |
20¢ |
5¢ |
| Total value |
20 u |
5 u + 150 |
Total value of 20¢ coins in Bag U
= 20 x 1 u
= 20 u
Total value of 5¢ coins in Bag V
= 5 x (1 u + 30)
= 5 u + 150
The amount in Bag U is 45¢ more than Bag V. If another 45¢ is added into Bag V, both Bag U and Bag V will have the same amounts of money.
20 u = 5 u + 150 + 45
20 u - 5 u = 150 + 45
15 u = 195
1 u = 195 ÷ 15 = 13
Total number of coins
= 1 u + (1 u + 30)
= 2 u + 30
= 2 x 13 + 30
= 26 + 30
= 56
Answer(s): 56
