Pouch F contains only 50-cent coins and Pouch G contains only 5-cent coins. There are 11 more coins in Pouch G than in Pouch F. The amount of money in Pouch F is $3.05 more than the amount of money in Pouch G. Find the total amount of money in both pouches.
| |
Pouch F |
Pouch G |
| Number |
1 u |
1 u + 11 |
| Value |
50¢ |
5¢ |
| Total value |
50 u |
5 u + 55 |
$1 = 100¢
$3.05 = 305¢
Total value of 50¢ coins in Pouch F
= 50 x 1 u
= 50 u
Total value of 5¢ coins in Pouch G
= 5(1 u + 11)
= 5 u + 55
The amount of money in Pouch F is $3.05 more than the amount of money in Pouch G. If another 305¢ is added into Pouch G, the total value of coins in Pouch F and Pouch G will be the same.
50 u = 5 u + 55 + 305
50 u - 5 u = 360
45 u = 360
1 u = 360 ÷ 45 = 8
Total amount in both pouches
= 50 u + (5 u + 55)
= 55 u + 55
= (55 x 8) + 55
= 440 + 55
= 495¢
495¢ = $4.95
Answer(s): $4.95
