Bottle J contains 50-cent coins and Bottle K contains 10-cent coins. There are 26 more coins in Bottle K than in Bottle J. The amount of money in Bottle J is 540¢ more than the amount of money in Bottle K. How many total coins are there?
| |
Bottle J |
Bottle K |
| Number |
1 u |
1 u + 26 |
| Value |
50¢ |
10¢ |
| Total value |
50 u |
10 u + 260 |
Total value of 50¢ coins in Bottle J
= 50 x 1 u
= 50 u
Total value of 10¢ coins in Bottle K
= 10 x (1 u + 26)
= 10 u + 260
The amount in Bottle J is 540¢ more than Bottle K. If another 540¢ is added into Bottle K, both Bottle J and Bottle K will have the same amounts of money.
50 u = 10 u + 260 + 540
50 u - 10 u = 260 + 540
40 u = 800
1 u = 800 ÷ 40 = 20
Total number of coins
= 1 u + (1 u + 26)
= 2 u + 26
= 2 x 20 + 26
= 40 + 26
= 66
Answer(s): 66
