Bottle Z contains only 50-cent coins and Bottle A contains only 10-cent coins. There are 17 more coins in Bottle A than in Bottle Z. The amount of money in Bottle Z is $1.50 more than the amount of money in Bottle A. Find the total amount of money in both bottles.
| |
Bottle Z |
Bottle A |
| Number |
1 u |
1 u + 17 |
| Value |
50¢ |
10¢ |
| Total value |
50 u |
10 u + 170 |
$1 = 100¢
$1.50 = 150¢
Total value of 50¢ coins in Bottle Z
= 50 x 1 u
= 50 u
Total value of 10¢ coins in Bottle A
= 10(1 u + 17)
= 10 u + 170
The amount of money in Bottle Z is $1.50 more than the amount of money in Bottle A. If another 150¢ is added into Bottle A, the total value of coins in Bottle Z and Bottle A will be the same.
50 u = 10 u + 170 + 150
50 u - 10 u = 320
40 u = 320
1 u = 320 ÷ 40 = 8
Total amount in both bottles
= 50 u + (10 u + 170)
= 60 u + 170
= (60 x 8) + 170
= 480 + 170
= 650¢
650¢ = $6.50
Answer(s): $6.50
