Question

Jaz mother gave her $20 to go see a movie. The cost of the movie ticket was $8.25. Jasmine wants to purchase some candy at the concession stand. If the candy costs $3.50 per box, write an inequality that can be used to find the greatest number of boxes of candy Jaz can purchase.

Answer 1

she can purchase a maximum of 3 boxes of candy with her remaining budget.

Explanation:

Remaining Budget (in dollars) ≥ Cost of Candy (in dollars)

In this case, the remaining budget is $20 - $8.25, and the cost of each box of candy is $3.50. So, the inequality is:

(20 - 8.25) ≥ 3.50x

Now, simplify the left side of the inequality:

11.75 ≥ 3.50x

This is the inequality that can be used to find the greatest number of boxes of candy Jasmine can purchase. To solve for x (the number of boxes of candy), divide both sides of the inequality by 3.50:

x ≤ 11.75 / 3.50

x ≤ 3.3571 (rounded to 4 decimal places)

Since Jasmine cannot purchase a fraction of a box of candy, she can purchase a whole number of boxes, which means she can purchase a maximum of 3 boxes of candy with her remaining budget.