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Math worksheet teaching students to calculate the whole from a given percentage using real-world scenarios.

A math worksheet titled "Find the Whole from a Percent" with four word problems involving percentages, illustrated with small icons of a green shirt, a CD, a cat, and candy.

A math worksheet titled "Find the Whole from a Percent" with four word problems involving percentages, illustrated with small icons of a green shirt, a CD, a cat, and candy.

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Show Answer Key & Explanations Step-by-step solution for: Find the Whole from a Percent by Beverly and Peach worksheets library
To solve the problems presented in the image, we need to use the relationship between percentages and whole numbers. The general formula to find the whole from a given percentage is:

\[
\text{Whole} = \frac{\text{Part}}{\text{Percentage (in decimal form)}}
\]

Let's solve each problem step by step.

---

Problem 1:


There are 12 students in a classroom wearing green shirts. These 12 students make up 60% of the total students. How many students are in the class in total?

#### Solution:
1. Let the total number of students in the class be \( x \).
2. According to the problem, 12 students represent 60% of the total students.
3. We can write this as:
\[
12 = 0.60 \times x
\]
4. To find \( x \), divide both sides by 0.60:
\[
x = \frac{12}{0.60}
\]
5. Perform the division:
\[
x = 20
\]

#### Answer:
\[
\boxed{20}
\]

---

Problem 2:


2,400 CDs in a store are on sale. These 2,400 CDs make up 80% of the CDs in the store. How many CDs are in the store?

#### Solution:
1. Let the total number of CDs in the store be \( y \).
2. According to the problem, 2,400 CDs represent 80% of the total CDs.
3. We can write this as:
\[
2,400 = 0.80 \times y
\]
4. To find \( y \), divide both sides by 0.80:
\[
y = \frac{2,400}{0.80}
\]
5. Perform the division:
\[
y = 3,000
\]

#### Answer:
\[
\boxed{3000}
\]

---

Problem 3:


A pet store has 15 puppies that have floppy ears. These make up 20% of the total number of puppies in the pet store. How many puppies are there in the pet store?

#### Solution:
1. Let the total number of puppies in the pet store be \( z \).
2. According to the problem, 15 puppies represent 20% of the total puppies.
3. We can write this as:
\[
15 = 0.20 \times z
\]
4. To find \( z \), divide both sides by 0.20:
\[
z = \frac{15}{0.20}
\]
5. Perform the division:
\[
z = 75
\]

#### Answer:
\[
\boxed{75}
\]

---

Problem 4:


A candy shop has 10 employees who are female. They make up 20% of the employee population. How many employees are in the shop?

#### Solution:
1. Let the total number of employees in the shop be \( w \).
2. According to the problem, 10 employees represent 20% of the total employees.
3. We can write this as:
\[
10 = 0.20 \times w
\]
4. To find \( w \), divide both sides by 0.20:
\[
w = \frac{10}{0.20}
\]
5. Perform the division:
\[
w = 50
\]

#### Answer:
\[
\boxed{50}
\]

---

Problem 5:


12 of the students in the school choir are sopranos. These 12 students make up 24% of the choir. How many students are in the choir?

#### Solution:
1. Let the total number of students in the choir be \( v \).
2. According to the problem, 12 students represent 24% of the total students in the choir.
3. We can write this as:
\[
12 = 0.24 \times v
\]
4. To find \( v \), divide both sides by 0.24:
\[
v = \frac{12}{0.24}
\]
5. Perform the division:
\[
v = 50
\]

#### Answer:
\[
\boxed{50}
\]

---

Final Answers:


1. \(\boxed{20}\)
2. \(\boxed{3000}\)
3. \(\boxed{75}\)
4. \(\boxed{50}\)
5. \(\boxed{50}\)
Parent Tip: Review the logic above to help your child master the concept of finding the whole given a part and a percent worksheet.
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