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 $1.80 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¢
$1.80 = 180¢
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 $1.80 more than the amount of money in Pouch Q. If another 180¢ 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 + 180
50 u - 10 u = 280
40 u = 280
1 u = 280 ÷ 40 = 7
Total amount in both pouches
= 50 u + (10 u + 100)
= 60 u + 100
= (60 x 7) + 100
= 420 + 100
= 520¢
520¢ = $5.20
Answer(s): $5.20
