Question

1. of the 150 restaurants in a city, 32% serve mexican food. what is the total number of restaurants that serve mexican food in the city?

a. 48 b. 102
c. 118 d. not here

1. the price of a video game is $48.00 plus 8% sales tax. what is the sales tax on this video game in dollars and cents?

1. fifty people who watch television were recently polled as to which type of program they preferred. the results are shown in the table.

television survey
type of show number who watch
comedy 16
documentary 9
drama 12
musical 8
news 5

what percent of those surveyed preferred to watch news programs?
a. 10% b. 12% c. 20% d. 24%

1. find the missing number.

\\(\frac{5}{12} = \frac{20}{?}\\)
a. 24 b. 36 c. 48 d. 60

1. find the missing number.

\\(\frac{3}{5} = \frac{?}{25}\\)
a. 5 b. 10 c. 12 d. 15

Explanation:

Question 4

Step1: Convert percentage to decimal

To find 32% of 150, first convert 32% to a decimal by dividing by 100: \( 32\% = \frac{32}{100} = 0.32 \)

Step2: Multiply by total number of restaurants

Multiply the decimal by the total number of restaurants (150) to find the number of Mexican food - serving restaurants: \( 150\times0.32 = 48 \)

Step1: Recall the formula for sales tax

The formula for sales tax is \( \text{Sales Tax}=\text{Price}\times\text{Tax Rate} \)

Step2: Substitute the values

The price of the video game is $48.00 and the tax rate is 8% or 0.08. So, \( \text{Sales Tax}=48\times0.08 = 3.84 \)

Step1: Recall the formula for percentage

The formula for percentage is \( \text{Percentage}=\frac{\text{Part}}{\text{Whole}}\times100\% \)

Step2: Identify part and whole

The number of people who prefer news programs (part) is 5, and the total number of people surveyed (whole) is 50.

Step3: Calculate the percentage

Substitute the values into the formula: \( \frac{5}{50}\times100\%= 10\% \)

Answer:

A. 48

Question 5