Question

Lisa has $7.80 to spend on some tomatoes and a loaf of bread. Tomatoes cost $1.20 per pound, and a loaf of bread costs $1.80. The inequality 1.20x + 1.80 ≤ 7.80 models this situation, where x is the number of pounds of tomatoes. Solve the inequality. How many pounds of tomatoes can Lisa buy? A. x ≤ 8; Lisa can buy 8 pounds or less of tomatoes. B. x ≥ 5; Lisa can buy 5 pounds or more of tomatoes. C. x ≤ 5; Lisa can buy 5 pounds or less of tomatoes. D. x ≥ 8; Lisa can buy 8 pounds or more of tomatoes.

Answer 1

The answer is C, x ≤ 5; Lisa can buy 5 pounds or less of tomatoes.

Answer 2

Answer:

C. $x\leq 5$; Lisa can buy 5 pounds or less of tomatoes.

Step-by-step explanation:

We have been given an inequality $1.20x+1.80\leq 7.80$, where x is the number of pounds of tomatoes. The inequality represents amount spend by Lisa on tomatoes and loaf. We are asked to find number of pounds that Lisa can buy.

First of all, we will subtract 1.80 from both sides of our inequality.

$1.20x+1.80-1.80\leq 7.80-1.80$

$1.20x\leq 6.00$

Now, we will divide both sides of our inequality by 1.20.

$\frac{1.20x}{1.20}\leq \frac{6.00}{1.20}$

$x\leq 5$

Therefore, Lisa can buy 5 pounds or less of tomatoes and option C is the correct choice.