Tin Can W contains only 50-cent coins and Tin Can X contains only 5-cent coins. There are 17 more coins in Tin Can X than in Tin Can W. The amount of money in Tin Can W is $2.75 more than the amount of money in Tin Can X. Find the total amount of money in both tin cans.
| |
Tin Can W |
Tin Can X |
| Number |
1 u |
1 u + 17 |
| Value |
50¢ |
5¢ |
| Total value |
50 u |
5 u + 85 |
$1 = 100¢
$2.75 = 275¢
Total value of 50¢ coins in Tin Can W
= 50 x 1 u
= 50 u
Total value of 5¢ coins in Tin Can X
= 5(1 u + 17)
= 5 u + 85
The amount of money in Tin Can W is $2.75 more than the amount of money in Tin Can X. If another 275¢ is added into Tin Can X, the total value of coins in Tin Can W and Tin Can X will be the same.
50 u = 5 u + 85 + 275
50 u - 5 u = 360
45 u = 360
1 u = 360 ÷ 45 = 8
Total amount in both tin cans
= 50 u + (5 u + 85)
= 55 u + 85
= (55 x 8) + 85
= 440 + 85
= 525¢
525¢ = $5.25
Answer(s): $5.25
