Bottle C contains only 50-cent coins and Bottle D contains only 5-cent coins. There are 16 more coins in Bottle D than in Bottle C. The amount of money in Bottle C is $3.25 more than the amount of money in Bottle D. Find the total amount of money in both bottles.
|
Bottle C |
Bottle D |
Number |
1 u |
1 u + 16 |
Value |
50¢ |
5¢ |
Total value |
50 u |
5 u + 80 |
$1 = 100¢
$3.25 = 325¢
Total value of 50¢ coins in Bottle C
= 50 x 1 u
= 50 u
Total value of 5¢ coins in Bottle D
= 5(1 u + 16)
= 5 u + 80
The amount of money in Bottle C is $3.25 more than the amount of money in Bottle D. If another 325¢ is added into Bottle D, the total value of coins in Bottle C and Bottle D will be the same.
50 u = 5 u + 80 + 325
50 u - 5 u = 405
45 u = 405
1 u = 405 ÷ 45 = 9
Total amount in both bottles
= 50 u + (5 u + 80)
= 55 u + 80
= (55 x 9) + 80
= 495 + 80
= 575¢
575¢ = $5.75
Answer(s): $5.75