Chapter 1.1, Problem 15E

To determine

To find the original price for the amusement park when discounted ticket price costs y $\$12.95$ less than the original price 1 $p$ .

  

Answer to Problem 15E

The original ticket price is 3 $\$56.95$ .

Explanation of Solution

Given: Discounted ticket price costs $\$12.95$ less than the original price

  $p$ .

  

Formula Used:

The addition property of equality states that if we add or subtract the same number to both sides of an equation, the sides remain equal.

Calculation:

Given: Discounted ticket price costs $\$12.95$ less than the original price $p$ .

  

Thus, Discounted ticket price $=\$44$

As, Discounted ticket price costs $\$12.95$ less than the original price $p$ , we have:

  $p-12.95=44$

Adding $12.95$ to both the sides as “The addition property of equality states that if we add or subtract the same number to both sides of an equation, the sides remain equal.”

  $\begin{array}{l}p-12.95+12.95=44+12.95\\ p=56.95\end{array}$

Thus, the original ticket price is $\$56.95$

Conclusion:

Hence, the original ticket price is $\$56.95$ .