Bottle F contains only 50-cent coins and Bottle G contains only 10-cent coins. There are 12 more coins in Bottle G than in Bottle F. The amount of money in Bottle F is $2.40 more than the amount of money in Bottle G. Find the total amount of money in both bottles.
| |
Bottle F |
Bottle G |
| Number |
1 u |
1 u + 12 |
| Value |
50¢ |
10¢ |
| Total value |
50 u |
10 u + 120 |
$1 = 100¢
$2.40 = 240¢
Total value of 50¢ coins in Bottle F
= 50 x 1 u
= 50 u
Total value of 10¢ coins in Bottle G
= 10(1 u + 12)
= 10 u + 120
The amount of money in Bottle F is $2.40 more than the amount of money in Bottle G. If another 240¢ is added into Bottle G, the total value of coins in Bottle F and Bottle G will be the same.
50 u = 10 u + 120 + 240
50 u - 10 u = 360
40 u = 360
1 u = 360 ÷ 40 = 9
Total amount in both bottles
= 50 u + (10 u + 120)
= 60 u + 120
= (60 x 9) + 120
= 540 + 120
= 660¢
660¢ = $6.60
Answer(s): $6.60
