Question

TICKETS Tickets to the county fair are \(8 for an adult and \)5 for a child. If you have a 15% discount card, how much will 2 adult tickets and 2 child tickets cost?

Short answer

2 adult tickets and 2 child tickets cost is $22.1.

Step-by-step solution

Step 1. Use the definition of the percentage change.

The percent change is the increase or decrease in the value of a quantity. If the new value is larger than the original value then it is a percent increase and if the change in value is lesser than the original value it is called percentage decrease.

Sales tax is a percentage of the original cost which is added before selling an item. The final price is called the selling price. Similarly percentage discount is the cost that is reduced from the original price.

Step 2. Find the new price change.

Given that the tickets to the county fair are $8 for an adult and $5 for a child. The cost of 2 adult tickets and 2 child tickets will be:

$\begin{array}{l}=2\left(\$8\right)+2\left(\$5\right)\\ =\$16+\$10\\ =\$26\end{array}$

If we let the new cost with a 15% discount card be x, the new cost will be:

$\begin{array}{l}x=\$26-15\%\times \$26\\ x=26-\frac{15}{100}\times 26\\ x=26-0.15\times 26\\ x=26-3.9\\ x=\$22.1\end{array}$

Thus, the discounted cost for 2 adult tickets and 2 child tickets is $22.1.