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.

do you have any choices

step-by-step explanation:

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation: