Question

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.

Answer 1

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