Question

1. two out of every 5 customers at a restaurant use cash to pay for their meal. what percent of the customers pay with cash?
2. enrollment in french class at a high school is 0.72 of enrollment in spanish class. what is enrollment in french class compared to spanish class as a fraction and as a percent?
3. reasoning write \\(\frac{9}{12}\\) as a decimal and as a percent. describe two ways to find the answer.
4. critique reasoning sixty percent of the students in zachary’s class ride their bikes to school. zachary says that \\(\frac{6}{10}\\) of the students ride their bikes to school. is he right? explain.

Explanation:

Step1: Calculate cash-paying customer ratio

$\frac{2}{5}$

Step2: Convert ratio to decimal

$2 \div 5 = 0.4$

Step3: Convert decimal to percentage

$0.4 \times 100 = 40\%$

Step1: Rewrite decimal as fraction

$0.72 = \frac{72}{100}$

Step2: Simplify the fraction

$\frac{72 \div 4}{100 \div 4} = \frac{18}{25}$

Step3: Convert decimal to percentage

$0.72 \times 100 = 72\%$

Method 1: Simplify then convert

Step1: Simplify the fraction

$\frac{9 \div 3}{12 \div 3} = \frac{3}{4}$

Step2: Convert to decimal

$3 \div 4 = 0.75$

Step3: Convert to percentage

$0.75 \times 100 = 75\%$

Method 2: Direct conversion

Step1: Convert fraction to decimal

$9 \div 12 = 0.75$

Step2: Convert decimal to percentage

$0.75 \times 100 = 75\%$

Step1: Convert percentage to fraction

$60\% = \frac{60}{100}$

Step2: Simplify the fraction

$\frac{60 \div 20}{100 \div 20} = \frac{3}{5}$

Step3: Compare to Zachary's claim

$\frac{3}{5} = \frac{6}{10}$, so his statement matches.

Answer:

40%

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