Tin Can P contains only 50-cent coins and Tin Can Q contains only 5-cent coins. There are 18 more coins in Tin Can Q than in Tin Can P. The amount of money in Tin Can P is $3.60 more than the amount of money in Tin Can Q. Find the total amount of money in both tin cans.
|
Tin Can P |
Tin Can Q |
Number |
1 u |
1 u + 18 |
Value |
50¢ |
5¢ |
Total value |
50 u |
5 u + 90 |
$1 = 100¢
$3.60 = 360¢
Total value of 50¢ coins in Tin Can P
= 50 x 1 u
= 50 u
Total value of 5¢ coins in Tin Can Q
= 5(1 u + 18)
= 5 u + 90
The amount of money in Tin Can P is $3.60 more than the amount of money in Tin Can Q. If another 360¢ is added into Tin Can Q, the total value of coins in Tin Can P and Tin Can Q will be the same.
50 u = 5 u + 90 + 360
50 u - 5 u = 450
45 u = 450
1 u = 450 ÷ 45 = 10
Total amount in both tin cans
= 50 u + (5 u + 90)
= 55 u + 90
= (55 x 10) + 90
= 550 + 90
= 640¢
640¢ = $6.40
Answer(s): $6.40