Marion bought 14 packages of plastic frog and lizard fishing lures. she bought frog lures in packages of 4 and lizard lures in packages of 6 for a total of 72 lures. how many of each lure did marion buy?

Marion bought 6  frog lures and 8 lizard fishing lures.

Step-by-step explanation:

Let represent frog lures and represent lizard lures.

The total packages Marion bought is

If she bought frog lures in packages of 4 and lizard lures in packages of 6 for a total of 72 lures, then

We make the subject in equation 1 and put it into equation 2 to get;

We put equation 3 into equation 2 to get;

We expand the bracket to get;

We put into equation 3 to get;

Therefore Marion bought 6  frog lures and 8 lizard fishing lures.

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: