Question

fill in the proportion and solve for the variable (x). write % fraction first!!

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 the proportion

We have the proportion $\frac{60}{100}=\frac{72}{x}$. Cross - multiply to get $60x = 72\times100$.

Step2: Solve for x

First, calculate $72\times100 = 7200$. Then, divide both sides of the equation $60x=7200$ by 60: $x=\frac{7200}{60}=120$.

Step1: Set up the proportion

The proportion is $\frac{30}{100}=\frac{45}{x}$. Cross - multiply to obtain $30x = 45\times100$.

Step2: Solve for x

Calculate $45\times100 = 4500$. Then, divide both sides of $30x = 4500$ by 30: $x=\frac{4500}{30}=150$.

Step1: Set up the proportion

We have the proportion $\frac{52}{100}=\frac{156}{x}$. Cross - multiply to get $52x=156\times100$.

Step2: Solve for x

First, calculate $156\times100 = 15600$. Then, divide both sides of $52x = 15600$ by 52: $x=\frac{15600}{52}=300$.

Answer:

The total number of students in the class is 120.

Problem 2