Pouch P contains only 50-cent coins and Pouch Q contains only 10-cent coins. There are 10 more coins in Pouch Q than in Pouch P. The amount of money in Pouch P is $2.20 more than the amount of money in Pouch Q. Find the total amount of money in both pouches.
|
Pouch P |
Pouch Q |
Number |
1 u |
1 u + 10 |
Value |
50¢ |
10¢ |
Total value |
50 u |
10 u + 100 |
$1 = 100¢
$2.20 = 220¢
Total value of 50¢ coins in Pouch P
= 50 x 1 u
= 50 u
Total value of 10¢ coins in Pouch Q
= 10(1 u + 10)
= 10 u + 100
The amount of money in Pouch P is $2.20 more than the amount of money in Pouch Q. If another 220¢ is added into Pouch Q, the total value of coins in Pouch P and Pouch Q will be the same.
50 u = 10 u + 100 + 220
50 u - 10 u = 320
40 u = 320
1 u = 320 ÷ 40 = 8
Total amount in both pouches
= 50 u + (10 u + 100)
= 60 u + 100
= (60 x 8) + 100
= 480 + 100
= 580¢
580¢ = $5.80
Answer(s): $5.80