The owner of a health-food store sells dried apples for $1.40 per quarter-pound, and dried apricots for $1.60 per quarter-pound. how many pounds of each must he mix together to get 20 lb of a mixture that sells for $1.51 per quarter-pound?

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:

Since you know that the cost is $1.51, you can solve the equation for x:

Then you have that you need 9 lb of apples and 11 lb of apricots.

exa:

)

3+11

14

step-by-step explanation:

from this example, we can see that subtracting with integers is the same as adding the opposite. we can solve using a number line or by using the saying "keep, change, change" to us solve. it is important to remember that we can subtract a negative and end up with a larger number than we started with.