Question

Charlie wants to order lunch for his friends. He'll order 6 sandwiches and a $3 kid's meal for his little brother. Charlie has $27. How much can he spend on each 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. A. Inequality: 3x + 6 < 27 B. Inequality: 6x + 3 ≤ 27 C. Inequality: 6x + 3 ≥ 27 D. Inequality: 3x + 6 ≥ 27 E. Answer: $7 or less F. Answer: $4 or less

Answer 1

B. because 6 x 4 = 24 + 3 = 27 and that is _< to 27 and F.

Answer 2

The inequality that models this situation is,

`\boxed{\boxed{B.\ 6x+3\leq 27}}`

Solution-

The total money Charlie has = $27

He wants to order 6 sandwiches and a kid's meal of $3

Let us assume the price of each sandwiches is x.

So, the amount he will be spending for sandwiches is $6x

The total amount he will be spending is $(6x+3)

As he has only $27, so he can spend any amount less than or equal to 27

So the inequality becomes,

`\Rightarrow 6x+3\leq 27`

Therefore, the inequality that models this situation is
`6x+3\leq 27`