Question

1. a class of students took a science test. if 72 students represent 60% of the class, how many students are in the whole class?

\\(\frac{60}{100}=\frac{72}{x}\\) 120

1. a bakery sold 45 blueberry muffins, which were 30% of its daily muffin sales. how many muffins did the bakery sell in total that day?

\\(\frac{30}{100}=\frac{45}{x}\\) 150

1. an online store had 156 orders from repeat customers, and those repeat orders made up 52% of all orders. how many orders were there in total?

\\(\frac{52}{100}=\frac{156}{x}\\) 300

Explanation:

Problem 1

Step1: Set up proportion

We know that \( \frac{60}{100}=\frac{72}{x} \), where \( x \) is the total number of students.

Step2: Cross - multiply

Cross - multiplying gives us \( 60x = 72\times100 \).

Step3: Solve for \( x \)

First, calculate \( 72\times100 = 7200 \). Then, \( x=\frac{7200}{60}=120 \).

Step1: Set up proportion

We have \( \frac{30}{100}=\frac{45}{x} \), where \( x \) is the total number of muffins sold.

Step2: Cross - multiply

Cross - multiplying gives \( 30x = 45\times100 \).

Step3: Solve for \( x \)

Calculate \( 45\times100 = 4500 \). Then, \( x=\frac{4500}{30}=150 \).

Step1: Set up proportion

We know that \( \frac{52}{100}=\frac{156}{x} \), where \( x \) is the total number of orders.

Step2: Cross - multiply

Cross - multiplying gives \( 52x = 156\times100 \).

Step3: Solve for \( x \)

Calculate \( 156\times100 = 15600 \). Then, \( x=\frac{15600}{52}=300 \).

Answer:

120

Problem 2