Question

Charlie wants to order lunch for his friends. He'll order 6 sandwiches and a $3kid's meal for his little brother. Charlie has $27. How much can he spend oneach sandwich if they are all the same price?Choose two answers: one for the inequality that models this situation and one for the correct answer.

Answer 1

We have to write the inequality to represent this problem.

He has $27 so the total amount spend has to be equal to or smaller than this value.

The total amount spent will be 6 times the price of a sandwich (6x, if x represents the price of a sandwich) plus 3, which is the amount of the kid's meal.

Then, we can can write that the total amount has to be equal to or smaller than 27 as:

`6x+3\leq27`

This inequality can be solved as:

`\begin{gathered} 6x+3\leq27 \\ 6x\leq27-3 \\ x\leq(24)/(6) \\ x\leq4 \end{gathered}`

So the sandwich has to cost $4 or less.

Answer:

Inequality: 6x + 3 ≤ 27 [Option D]

Answer: $4 or less [Option B]