Answer: [tex]\frac{306}{65}[/tex] pounds
Step-by-step explanation:
Let x pounds of $ 0.66 per lb candies mixed with y pounds of $ 1.31 per lb candies to obtain 9 lb of $ 0.97 per lb candies,
Hence, we can write,
x + y = 9 ------- (1)
And, 0.66 of x + 1.31 of y = 0.97 of (x + y)
⇒ 66 x + 131 y = 97 (x+y)
⇒ 66 x +131 y - 97 x - 97 y = 0
⇒ -31 x + 34 y = 0 ------(2)
By solving equation (1) and (2)
We get,
[tex]x=\frac{306}{65}[/tex] and [tex]y=\frac{279}{65}[/tex]
Hence, the quantity of 0.66 per lb candies = [tex]\frac{306}{65}[/tex] pounds
