Bottle F contains only 50-cent coins and Bottle G contains only 5-cent coins. There are 14 more coins in Bottle G than in Bottle F. The amount of money in Bottle F is $1.10 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 + 14 |
| Value |
50¢ |
5¢ |
| Total value |
50 u |
5 u + 70 |
$1 = 100¢
$1.10 = 110¢
Total value of 50¢ coins in Bottle F
= 50 x 1 u
= 50 u
Total value of 5¢ coins in Bottle G
= 5(1 u + 14)
= 5 u + 70
The amount of money in Bottle F is $1.10 more than the amount of money in Bottle G. If another 110¢ is added into Bottle G, the total value of coins in Bottle F and Bottle G will be the same.
50 u = 5 u + 70 + 110
50 u - 5 u = 180
45 u = 180
1 u = 180 ÷ 45 = 4
Total amount in both bottles
= 50 u + (5 u + 70)
= 55 u + 70
= (55 x 4) + 70
= 220 + 70
= 290¢
290¢ = $2.90
Answer(s): $2.90
