Chapter 4.1, Problem 54PPS

To determine

Expression for total cost of ticket.

Answer to Problem 54PPS

  $\left(42.95\right)x+\left(21.95\right)y$

Explanation of Solution

Given information:

Ticker cost for an adult $=\$52.95$

Ticker cost for a child $=\$31.95$

Coupon on each ticket $=\$10$

Number of adults $=x$

Number of Children $=y$

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 of one ticker for the family will be the difference of actual ticket cost and coupon cost, i.e.

Cost for ticket for adults $=\$52.95-\$10=\$42.95$

Cost for ticket for children $=\$31.95-\$10=\$21.95$

Expression for total cost of tickets will be given as-

  $\left(42.95\right)x+\left(21.95\right)y$