Question

Steve is buying a sandwich for lunch and some fresh fruit juice for his friends. The sandwich costs $3.92 and the fruit juice costs $0.80 per ounce. He can spend at most $23.52 on all the food items.
How many ounces of juice, x, can he purchase and stay within his budget? Select the inequality that includes the largest amount of ounces of juice he can purchase and still stay under his budget.

A. x≤24.5
B. x≥19.6
C. x≥24.5
D. x≤19.6

Answer 1

Answer: A

Step-by-step explanation:

First, take the total amount Steve is allowed to spend and subtract the cost of the sandwich. This will tell you how much Steve can spend on juice.

$23.52 - $3.92 = $19.60

Now that you know how much Steve can spend on juice, you can find out how much he is able to buy. Divide his remaining money ($19.60) by the cost per ounce of juice ($0.80).

$19.60/$0.80 = 24.5

Steve can buy up to 24.5 ounces of juice. Now we have to look at the signs. Can Steve buy MORE than 24.5 ounces of juice? No. Can he buy EXACTLY 24.5 ounces of juice? Yes! Could he buy less than that amount? Yes! So, your sign should be less than or equal to. This means that your answer should read as follows:

X is less than or equal to 24.5