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.

Accepted Solution

Answer: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 ≤ 20Now reduce since all coefficients are even, they can be divided by 24 < 2x + y ≤ 10We 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 8If 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 2x = 5,  the y = o