Bag U contains 50-cent coins and Bag V contains 10-cent coins. There are 14 more coins in Bag V than in Bag U. The amount of money in Bag U is 820¢ more than the amount of money in Bag V. How many total coins are there?
| |
Bag U |
Bag V |
| Number |
1 u |
1 u + 14 |
| Value |
50¢ |
10¢ |
| Total value |
50 u |
10 u + 140 |
Total value of 50¢ coins in Bag U
= 50 x 1 u
= 50 u
Total value of 10¢ coins in Bag V
= 10 x (1 u + 14)
= 10 u + 140
The amount in Bag U is 820¢ more than Bag V. If another 820¢ is added into Bag V, both Bag U and Bag V will have the same amounts of money.
50 u = 10 u + 140 + 820
50 u - 10 u = 140 + 820
40 u = 960
1 u = 960 ÷ 40 = 24
Total number of coins
= 1 u + (1 u + 14)
= 2 u + 14
= 2 x 24 + 14
= 48 + 14
= 62
Answer(s): 62
