Answer:
The owner of the store has to mix 9 lb of dried apples and 11 lb of dried apricots to get 20 lb of the mixture and sell it for $1.51 per quarter-pound.
Step-by-step explanation:
You have that the weight of the apples is x and the weight of the apricots is 20 lb - x.
To know the cost of this mixture you divide the weight by the price:
[tex]\frac{1.40x+1.60(20-x)}{20}=cost[/tex]
Since you know that the cost is $1.51, you can solve the equation for x:
[tex]1.40x+1.60*20-1.60x=1.51*20\\1.40x-1.60x=1.51*20-1.60*20\\-0.2x=-1.8\\x=\frac{-1.8}{-0.2}\\x=9[/tex]
Then you have that you need 9 lb of apples and 11 lb of apricots.
