Bottle K contains only 50-cent coins and Bottle L contains only 10-cent coins. There are 17 more coins in Bottle L than in Bottle K. The amount of money in Bottle K is $2.30 more than the amount of money in Bottle L. Find the total amount of money in both bottles.
| |
Bottle K |
Bottle L |
| Number |
1 u |
1 u + 17 |
| Value |
50¢ |
10¢ |
| Total value |
50 u |
10 u + 170 |
$1 = 100¢
$2.30 = 230¢
Total value of 50¢ coins in Bottle K
= 50 x 1 u
= 50 u
Total value of 10¢ coins in Bottle L
= 10(1 u + 17)
= 10 u + 170
The amount of money in Bottle K is $2.30 more than the amount of money in Bottle L. If another 230¢ is added into Bottle L, the total value of coins in Bottle K and Bottle L will be the same.
50 u = 10 u + 170 + 230
50 u - 10 u = 400
40 u = 400
1 u = 400 ÷ 40 = 10
Total amount in both bottles
= 50 u + (10 u + 170)
= 60 u + 170
= (60 x 10) + 170
= 600 + 170
= 770¢
770¢ = $7.70
Answer(s): $7.70
