Pouch P contains only 50-cent coins and Pouch Q contains only 5-cent coins. There are 17 more coins in Pouch Q than in Pouch P. The amount of money in Pouch P is $1.40 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 + 17 |
| Value |
50¢ |
5¢ |
| Total value |
50 u |
5 u + 85 |
$1 = 100¢
$1.40 = 140¢
Total value of 50¢ coins in Pouch P
= 50 x 1 u
= 50 u
Total value of 5¢ coins in Pouch Q
= 5(1 u + 17)
= 5 u + 85
The amount of money in Pouch P is $1.40 more than the amount of money in Pouch Q. If another 140¢ is added into Pouch Q, the total value of coins in Pouch P and Pouch Q will be the same.
50 u = 5 u + 85 + 140
50 u - 5 u = 225
45 u = 225
1 u = 225 ÷ 45 = 5
Total amount in both pouches
= 50 u + (5 u + 85)
= 55 u + 85
= (55 x 5) + 85
= 275 + 85
= 360¢
360¢ = $3.60
Answer(s): $3.60
