Question

Art and his friends spent $62 at the movies. Admission tickets cost $12 apiece, and a bucket of popcorn costs $7. Which equation written in standard form represents the number of tickets bought, t, and the number of buckets of popcorn bought, p?

A. 12p + 7t = 62

B. 7p + 12t = 62

C. 12p = 62 – 7t

D. 7p = 62 – 12t

Answer 1

B.
`7p+12t=62`

Explanation:

Let t represent the number of tickets and p represent the number of buckets of popcorn.

We have been given that admission tickets cost $12 a piece, so the cost of t tickets will be 12t.

We are also told that a bucket of popcorn costs $7, so the cost of p buckets of popcorn will be 7p.

Since Art and his friends spent $62 at the movies. This means that cost of 7 buckets of popcorn and t tickets will be equal to $62.

We can represent this information in an equation as:

`7p+12t=62`

Since we know that standard form of equation is :
`ax+by=C`, therefore, option B is the correct choice.

Answer 2

Answer: B.
`7p+12t=62`

Explanation:

Let t represents the number of tickets bought and p represents the number of buckets of popcorn bought.

Then,Since admission tickets cost $12 apiece, and a bucket of popcorn costs $7.

Therefore, the total admission cost = 12t

The total cost of popcorn= 7p

Also, Art and his friends spent $62 at the movies, then the equation will be

`7p+12t=62`