Bottle N contains only 50-cent coins and Bottle P contains only 5-cent coins. There are 13 more coins in Bottle P than in Bottle N. The amount of money in Bottle N is $2.95 more than the amount of money in Bottle P. Find the total amount of money in both bottles.
| |
Bottle N |
Bottle P |
| Number |
1 u |
1 u + 13 |
| Value |
50¢ |
5¢ |
| Total value |
50 u |
5 u + 65 |
$1 = 100¢
$2.95 = 295¢
Total value of 50¢ coins in Bottle N
= 50 x 1 u
= 50 u
Total value of 5¢ coins in Bottle P
= 5(1 u + 13)
= 5 u + 65
The amount of money in Bottle N is $2.95 more than the amount of money in Bottle P. If another 295¢ is added into Bottle P, the total value of coins in Bottle N and Bottle P will be the same.
50 u = 5 u + 65 + 295
50 u - 5 u = 360
45 u = 360
1 u = 360 ÷ 45 = 8
Total amount in both bottles
= 50 u + (5 u + 65)
= 55 u + 65
= (55 x 8) + 65
= 440 + 65
= 505¢
505¢ = $5.05
Answer(s): $5.05
