Pouch V contains only 50-cent coins and Pouch W contains only 10-cent coins. There are 13 more coins in Pouch W than in Pouch V. The amount of money in Pouch V is $2.70 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¢ |
10¢ |
Total value |
50 u |
10 u + 130 |
$1 = 100¢
$2.70 = 270¢
Total value of 50¢ coins in Pouch V
= 50 x 1 u
= 50 u
Total value of 10¢ coins in Pouch W
= 10(1 u + 13)
= 10 u + 130
The amount of money in Pouch V is $2.70 more than the amount of money in Pouch W. If another 270¢ is added into Pouch W, the total value of coins in Pouch V and Pouch W will be the same.
50 u = 10 u + 130 + 270
50 u - 10 u = 400
40 u = 400
1 u = 400 ÷ 40 = 10
Total amount in both pouches
= 50 u + (10 u + 130)
= 60 u + 130
= (60 x 10) + 130
= 600 + 130
= 730¢
730¢ = $7.30
Answer(s): $7.30