Question

I really need help with this problem thank you.

Charlie wants to order lunch for his friends. He'll order 6 sandwiches and a $2 kid's meal for his little brother. Charlie has $32. How much can he spend on each sandwich is they are all the same price?

Choose two answers: One for inequality that models this situation and one for the correct answer.

A. Inequality: 6x+2 > ( greater than or equal too ) 32

B. Inequality: 6x+2 < ( less than or equal too ) 32

C. Answer: $13 or less

D. Answer: $5 or less

E. Inequality: 2x+6 < 32

F. Inequality: 2x+6 < ( less than or equal too ) 32

Answer 1

So, obviously, since one of the prices is given, which is $2.00 for the kid's meal, then you need to subtract that from his $32.00 total to know what number you need to divide into the 6 sandwiches. So, so far you have $30.00. If you divide $30.00 by the 6 sandwiches, you will find out he could only spend $5.00 per sandwich. So basically, you got the expression of (32 -2) / 6 in order to find out that your answer is $5.00. Looking at you answer choices, I can see right away that D is correct. For the inequality, I can see that B would be the correct answer for this problem because he can't go over budget. So, your answers are B and D.

Answer 2

Inequality that models the given situation is given by 6x+2 ≤ 32.

Price of each sandwich is equals to $5 or less.

What is inequality?

" Inequality is defined as the algebraic expression which represents the relation between the variables using the sign of inequality < , > , ≤ , ≥."

According to the question,

Given,

Number of sandwiches = 6

Amount spend on kids meal = $2

Total money with Charlie = $32

'x' represents the cost of each sandwich

As per the condition inequality is given by,

$6x+2 \leq 32\\\\\implies 6x \leq 32 - 2\\\\ \implies 6x \leq 30 \\\\ \implies x \leq \frac{30}{6} \\\\\implies x\leq \ 5$

Hence, Option(D) is the correct answer

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