Pouch V contains only 50-cent coins and Pouch W contains only 5-cent coins. There are 13 more coins in Pouch W than in Pouch V. The amount of money in Pouch V is $1.60 more than the amount of money in Pouch W. Find the total amount of money in both pouches.
| |
Pouch V |
Pouch W |
| Number |
1 u |
1 u + 13 |
| Value |
50¢ |
5¢ |
| Total value |
50 u |
5 u + 65 |
$1 = 100¢
$1.60 = 160¢
Total value of 50¢ coins in Pouch V
= 50 x 1 u
= 50 u
Total value of 5¢ coins in Pouch W
= 5(1 u + 13)
= 5 u + 65
The amount of money in Pouch V is $1.60 more than the amount of money in Pouch W. If another 160¢ is added into Pouch W, the total value of coins in Pouch V and Pouch W will be the same.
50 u = 5 u + 65 + 160
50 u - 5 u = 225
45 u = 225
1 u = 225 ÷ 45 = 5
Total amount in both pouches
= 50 u + (5 u + 65)
= 55 u + 65
= (55 x 5) + 65
= 275 + 65
= 340¢
340¢ = $3.40
Answer(s): $3.40
