Tin Can F contains only 50-cent coins and Tin Can G contains only 10-cent coins. There are 24 more coins in Tin Can G than in Tin Can F. The amount of money in Tin Can F is $1.20 more than the amount of money in Tin Can G. Find the total amount of money in both tin cans.
|
Tin Can F |
Tin Can G |
Number |
1 u |
1 u + 24 |
Value |
50¢ |
10¢ |
Total value |
50 u |
10 u + 240 |
$1 = 100¢
$1.20 = 120¢
Total value of 50¢ coins in Tin Can F
= 50 x 1 u
= 50 u
Total value of 10¢ coins in Tin Can G
= 10(1 u + 24)
= 10 u + 240
The amount of money in Tin Can F is $1.20 more than the amount of money in Tin Can G. If another 120¢ is added into Tin Can G, the total value of coins in Tin Can F and Tin Can G will be the same.
50 u = 10 u + 240 + 120
50 u - 10 u = 360
40 u = 360
1 u = 360 ÷ 40 = 9
Total amount in both tin cans
= 50 u + (10 u + 240)
= 60 u + 240
= (60 x 9) + 240
= 540 + 240
= 780¢
780¢ = $7.80
Answer(s): $7.80