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1. there are 20 students in jason’s homeroom. 80% of the students are in band. how many students are in band?
2. there are 20 green m&m’s in a bowl of candy. if 80% of the candies are green, how many total candies are in the bowl?
3. a math test had 80 questions. carmen answered 60 questions correctly. what percent did she answer correctly?
4. 60% of the 6th graders are wearing jeans today. if 80 students are wearing jeans, how many 6th graders are at westbrook?
5. martha practiced her free throws. she made 15 out of 40 shots. what percent of the free throws did she make?
6. kevin dropped a box of dishes. 15% of the dishes broke. if 40 dishes were broken, how many dishes were in the box?
7. nicky noticed 3 cars in the parking lot that had bumper stickers. there were 75 cars in the lot. what percent had bumper stickers?
8. 3% of the cars on the freeway were speeding. if 75 cars were driving on the freeway, how many cars were

Question

Accepted Answer

### Problem 1
# Explanation:
## Step1: Identify the proportion formula
We know that the proportion is $\frac{\text{part}}{\text{whole}}=\frac{\text{percent}}{100}$. Here, the whole number of students is 20, the percent is 80, and we need to find the part (number of students in band), let it be $x$. So the proportion is $\frac{x}{20}=\frac{80}{100}$.

## Step2: Solve for $x$
Cross - multiply: $100x = 20\times80$
$100x=1600$
Divide both sides by 100: $x=\frac{1600}{100}=16$

# Answer:
16

### Problem 2
# Explanation:
## Step1: Identify the proportion formula
Let the total number of candies be $x$ (this is the whole). The part (green M&Ms) is 20, and the percent is 80. The proportion formula is $\frac{\text{part}}{\text{whole}}=\frac{\text{percent}}{100}$, so $\frac{20}{x}=\frac{80}{100}$.

## Step2: Solve for $x$
Cross - multiply: $80x = 20\times100$
$80x = 2000$
Divide both sides by 80: $x=\frac{2000}{80}=25$

# Answer:
25

### Problem 3
# Explanation:
## Step1: Identify the proportion formula
Let the percent be $x$. The part (number of correct answers) is 60, the whole (total number of questions) is 80. The proportion formula is $\frac{\text{part}}{\text{whole}}=\frac{\text{percent}}{100}$, so $\frac{60}{80}=\frac{x}{100}$.

## Step2: Solve for $x$
Cross - multiply: $80x=60\times100$
$80x = 6000$
Divide both sides by 80: $x=\frac{6000}{80}=75$

# Answer:
75%

### Problem 4
# Explanation:
## Step1: Identify the proportion formula
Let the total number of 6th graders be $x$ (the whole). The part (number of students wearing jeans) is 80, and the percent is 60. The proportion formula is $\frac{\text{part}}{\text{whole}}=\frac{\text{percent}}{100}$, so $\frac{80}{x}=\frac{60}{100}$.

## Step2: Solve for $x$
Cross - multiply: $60x = 80\times100$
$60x=8000$
Divide both sides by 60: $x=\frac{8000}{60}=\frac{400}{3}\approx133$ (rounded to the nearest whole number)

# Answer:
133

### Problem 5
# Explanation:
## Step1: Identify the proportion formula
Let the percent be $x$. The part (number of made free throws) is 15, the whole (total number of shots) is 40. The proportion formula is $\frac{\text{part}}{\text{whole}}=\frac{\text{percent}}{100}$, so $\frac{15}{40}=\frac{x}{100}$.

## Step2: Solve for $x$
Cross - multiply: $40x = 15\times100$
$40x=1500$
Divide both sides by 40: $x=\frac{1500}{40}=37.5$

# Answer:
37.5%

### Problem 6
# Explanation:
## Step1: Identify the proportion formula
Let the total number of dishes be $x$ (the whole). The part (number of broken dishes) is 40, and the percent is 15. The proportion formula is $\frac{\text{part}}{\text{whole}}=\frac{\text{percent}}{100}$, so $\frac{40}{x}=\frac{15}{100}$.

## Step2: Solve for $x$
Cross - multiply: $15x = 40\times100$
$15x = 4000$
Divide both sides by 15: $x=\frac{4000}{15}=\frac{800}{3}\approx267$ (rounded to the nearest whole number)

# Answer:
267

### Problem 7
# Explanation:
## Step1: Identify the proportion formula
Let the percent be $x$. The part (number of cars with bumper stickers) is 3, the whole (total number of cars) is 75. The proportion formula is $\frac{\text{part}}{\text{whole}}=\frac{\text{percent}}{100}$, so $\frac{3}{75}=\frac{x}{100}$.

## Step2: Solve for $x$
Cross - multiply: $75x=3\times100$
$75x = 300$
Divide both sides by 75: $x = \frac{300}{75}=4$

# Answer:
4%

### Problem 8
# Explanation:
## Step1: Identify the proportion formula
Let the number of speeding cars be $x$ (the part). The whole (total number of cars on the freeway) is 75, and the percent is 3. The proportion formula is $\frac{\text{part}}{\text{whole}}=\frac{\text{percent}}{100}$, so $\frac{x}{75}=\frac{3}{100}$.

## Step2: Solve for $x$
Cross - multiply: $100x=75\times3$
$100x = 225$
Divide both sides by 100: $x=\frac{225}{100}=2.25$ (if we need to round to the nearest whole number, it is 2)

# Answer:
2 (or 2.25)

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Question

Explanation:

Problem 1

Step1: Identify the proportion formula

Step2: Solve for \(x\)

Step1: Identify the proportion formula

Step2: Solve for \(x\)

Step1: Identify the proportion formula

Step2: Solve for \(x\)

Answer:

Problem 2