Bottle K contains 50-cent coins and Bottle L contains 20-cent coins. There are 16 more coins in Bottle L than in Bottle K. The amount of money in Bottle K is 460¢ more than the amount of money in Bottle L. How many total coins are there?
| |
Bottle K |
Bottle L |
| Number |
1 u |
1 u + 16 |
| Value |
50¢ |
20¢ |
| Total value |
50 u |
20 u + 320 |
Total value of 50¢ coins in Bottle K
= 50 x 1 u
= 50 u
Total value of 20¢ coins in Bottle L
= 20 x (1 u + 16)
= 20 u + 320
The amount in Bottle K is 460¢ more than Bottle L. If another 460¢ is added into Bottle L, both Bottle K and Bottle L will have the same amounts of money.
50 u = 20 u + 320 + 460
50 u - 20 u = 320 + 460
30 u = 780
1 u = 780 ÷ 30 = 26
Total number of coins
= 1 u + (1 u + 16)
= 2 u + 16
= 2 x 26 + 16
= 52 + 16
= 68
Answer(s): 68
