Bottle D contains only 50-cent coins and Bottle E contains only 5-cent coins. There are 18 more coins in Bottle E than in Bottle D. The amount of money in Bottle D is $2.25 more than the amount of money in Bottle E. Find the total amount of money in both bottles.
|
Bottle D |
Bottle E |
Number |
1 u |
1 u + 18 |
Value |
50¢ |
5¢ |
Total value |
50 u |
5 u + 90 |
$1 = 100¢
$2.25 = 225¢
Total value of 50¢ coins in Bottle D
= 50 x 1 u
= 50 u
Total value of 5¢ coins in Bottle E
= 5(1 u + 18)
= 5 u + 90
The amount of money in Bottle D is $2.25 more than the amount of money in Bottle E. If another 225¢ is added into Bottle E, the total value of coins in Bottle D and Bottle E will be the same.
50 u = 5 u + 90 + 225
50 u - 5 u = 315
45 u = 315
1 u = 315 ÷ 45 = 7
Total amount in both bottles
= 50 u + (5 u + 90)
= 55 u + 90
= (55 x 7) + 90
= 385 + 90
= 475¢
475¢ = $4.75
Answer(s): $4.75