Bag F contains only 50-cent coins and Bag G contains only 10-cent coins. There are 14 more coins in Bag G than in Bag F. The amount of money in Bag F is $2.60 more than the amount of money in Bag G. Find the total amount of money in both bags.
| |
Bag F |
Bag G |
| Number |
1 u |
1 u + 14 |
| Value |
50¢ |
10¢ |
| Total value |
50 u |
10 u + 140 |
$1 = 100¢
$2.60 = 260¢
Total value of 50¢ coins in Bag F
= 50 x 1 u
= 50 u
Total value of 10¢ coins in Bag G
= 10(1 u + 14)
= 10 u + 140
The amount of money in Bag F is $2.60 more than the amount of money in Bag G. If another 260¢ is added into Bag G, the total value of coins in Bag F and Bag G will be the same.
50 u = 10 u + 140 + 260
50 u - 10 u = 400
40 u = 400
1 u = 400 ÷ 40 = 10
Total amount in both bags
= 50 u + (10 u + 140)
= 60 u + 140
= (60 x 10) + 140
= 600 + 140
= 740¢
740¢ = $7.40
Answer(s): $7.40
