Question

Calvin took his friends to a movie for his birthday. The movie tickets cost $12 per person. He spent less than $180.

If x is the number of friends he took along, then the inequality that represents the situation is .

Calvin took at most friends to the movie.

Answer 1

Your equation would be:
12x = $180

In solving for x, you need to divide 12 by 180 to get x by itself

180 divided by 12 = x

x = 15

Answer 2

Th inequality that represent the situation

`12x<180`

Calvin took at most friends to the movie=14.

Explanation:

We are given that Calvin took his friends to a movie for his birthday.

If x is the number of friends he took to the movie.

Cost of per movie ticket =$12

He spent money= Less than 180

Total cost is obtain by multiplying cost per ticket with number of friends.

Therefore, total cost =
`cost \;per\; ticket * number \; of\; friends`

Total cost=
`12* x`

Total cost =
`12x`

According to question we have

`12x< 180`

This is required inequality that represents the situation.

To find the maximum number of friends then we solve the above inequality

Divide by 12 on both side of inequality then we get

`(12x)/(12)<(180)/(12)`

By simplification we get

`x< 15`

Maximum total number friends =14

Because number of friends is always natural number.

Hence, Calvin took atmost friends to the movie=14.