If you're any good at compound inequalities.

cindy has $20 to spend at the store. she buys a pack of colored pencils that cost $4 and jelly beans that cost $2 per pound. if she spends more than $8 at the store, write a compound inequality that shows the possible number of pounds of jelly beans she could have purchased.

Step-by-step explanation:

Let x be the amount of colored pencils she buys, and let y be the number of jelly beans that she buys. We have the following inequalities..

4x + 2y ≤ 20     (the cost times the amount has to be less than or equal to 20)

4x + 2y > 8       (she spends more than $8)

We can rewrite the inequality like this...

8 < 4x + 2y ≤ 20

Now reduce since all coefficients are even, they can be divided by 2

4 < 2x + y ≤ 10

We want values of x and y that can satisfy the situation.  

There are many points,

If x = 1, then you can have y =3 to 8

If x = 2,  then you can have y = 1 to 6  

If x = 3, then you can have y = 1 to 4

If x = 4, then you can have y = 1 or 2

x = 5,  the y = o

arrange the equations with like terms in columns.

analyze the coefficients of x or y.

add the equations and solve for the remaining variable.

substitute the value into either equation and solve.

check the solution.

step-by-step explanation:

x is the total time in minutes for the free response

you are given number of questions as 15 - m and time per item as 8 minutes

to find x multiply the two givens together:

x = 8 * (15-m) = 8(15-m)