# A concert ticket that originally cost $18.50 is on sale for$14.00. What is the percent of decrease, rounded to the nearest tenth?

Jun 5, 2016

24.3%

#### Explanation:

The decrease in cost = $18.50 -$14.00 = $4.50 To express this as a percentage decrease we write. $\textcolor{b l u e}{\text{ the decrease as a fraction of original cost and multiply by 100}}$$\Rightarrow \text{ % decrease} = \frac{4.5}{18.5} \times \frac{100}{1} = \frac{4.5 \times 100}{18.5} = 24.324 \ldots\$

The tenths value is the first digit after the decimal point ie. 3

To round this we require to consider the digit immediately after ie. the hundredths.

• If the value ≥ 5 , then 3 'rounds up' to 4.

• If the value < 5 , then the 3 stays as 3.

The value of the digit in hundredths column is 2. Hence 3 stays.

hence percentage decrease = 24.3% (to the nearest tenth)