Question

Morgan is arranging a bowling party for his friends. The party room at the bowling alley is $35. The bowling alley also charges $13 for each person who attends the party. What is the maximum number of people that Morgan can invite to stay under his budget of $175

identify the inequality to solve and the maximum number of people.

A) 13x+35<=175 ; 10.77 people

B)13x+35<=175; 10 people

C) 13X+35>=175; 11 people

D)13x<=175; 13 people

Answer 1

Option B -
`35+13x\leq 175` ; 10 people

Explanation:

Given : Morgan is arranging a bowling party for his friends.

To find : What is the maximum number of people that Morgan can invite to stay under his budget of $175 identify the inequality to solve and the maximum number of people ?

Solution :

Let the number of people could be invited to the party be 'x'.

The bowling alley also charges $13 for each person who attends the party.

The cost of x people will be $13x.

The party room at the bowling alley is $35.

The maximum number of people that Morgan can invite to stay under his budget of $175.

The inequality form is

`35+13x\leq 175`

Solving the inequality,

`13x\leq 175-35`

`13x\leq 140`

`x\leq (140)/(13)`

`x\leq 10.769`

The required number of people will be 10.

Therefore, option B is correct.

Answer 2

Option: B is the correct answer.

B)13x+35<=175; 10 people

Explanation:

Let x people could be invited to the party such that it stay under his budget.

This means that cost of x people will be: $ 13x

Also, the party room cost: $ 35

This means that:

35+13x≤175.

( Since it was given that: His budget should be under $ 175 )

Now on subtracting both side of the inequality by 35 we get:

13x≤175-35

⇒ 13x ≤ 140

⇒ x ≤ 10.7692

As the number of people will be in whole.

Hence, x=10 people.

Hence, option: B is the answer.