Tin Can F contains only 50-cent coins and Tin Can G contains only 10-cent coins. There are 15 more coins in Tin Can G than in Tin Can F. The amount of money in Tin Can F is $2.50 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 + 15 |
Value |
50¢ |
10¢ |
Total value |
50 u |
10 u + 150 |
$1 = 100¢
$2.50 = 250¢
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 + 15)
= 10 u + 150
The amount of money in Tin Can F is $2.50 more than the amount of money in Tin Can G. If another 250¢ 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 + 150 + 250
50 u - 10 u = 400
40 u = 400
1 u = 400 ÷ 40 = 10
Total amount in both tin cans
= 50 u + (10 u + 150)
= 60 u + 150
= (60 x 10) + 150
= 600 + 150
= 750¢
750¢ = $7.50
Answer(s): $7.50