Chapter 4.1, Problem 59STP

To determine

Expression for total cost of admission and movie.

Answer to Problem 59STP

  $p\left(d+t\right)$

Explanation of Solution

Given information:

Cost of admission $=d$

Cost of movie $=t$

Number of people $=p$

Concept Used:

Distributive Property: The product sum or difference of two or more numbers inside a parentheses with another number outside the parentheses is equivalent to the sum or difference of product of number outside the parentheses with each number inside the parenthesis. i.e.-

  $a\left(b+c-d\right)=ab+ac-ad$

Calculation:

Cost for admission $p$ people will be $=pd$

Cost for movie $p$ people will be $=pt$

Total cost

  $=pd+pt$

We can write the given expression using distributive property-

  $pd+pt=p\left(d+t\right)$