18. scavenger hunt the table shows the results of 8 teams competing in a scavenger hunt. which team collected the most items? which team collected the fewest items? (section 6.2)
team | portion collected
1 | $\frac{3}{4}$
2 | 0.8
3 | 77.5%
4 | 0.825
5 | $\frac{29}{40}$
6 | 76.25%
7 | $\frac{63}{80}$
8 | 81.25%

Question

Accepted Answer

### Problem 15: What number is 28% of 75?
# Explanation:
## Step1: Convert percentage to decimal
To find a percentage of a number, we first convert the percentage to a decimal. We do this by dividing the percentage by 100. So, $ 28\% = \frac{28}{100} = 0.28 $.
## Step2: Multiply the decimal by the number
Now, we multiply this decimal by the number 75. So, $ 0.28\times75 $. Let's calculate that: $ 0.28\times75 = 21 $.
# Answer:
The number is 21.

### Problem 16: 42 is 21% of what number?
# Explanation:
## Step1: Convert percentage to decimal
First, convert the percentage to a decimal. $ 21\% = \frac{21}{100} = 0.21 $.
## Step2: Set up the equation and solve
Let the unknown number be $ x $. The equation is $ 0.21x = 42 $. To solve for $ x $, we divide both sides of the equation by 0.21. So, $ x=\frac{42}{0.21} $. Calculating that, $ \frac{42}{0.21}=200 $.
# Answer:
The number is 200.

### Problem 17: On a fishing trip, 38% of the fish that you catch are perch. Write this percent as a decimal.
# Explanation:
## Step1: Convert percentage to decimal
To convert a percentage to a decimal, we divide the percentage value by 100. So, for 38%, we do $ 38\div100 = 0.38 $.
# Answer:
The decimal is 0.38.

### Problem 18: SCAVENGER HUNT The table shows the results of 8 teams competing in a scavenger hunt. Which team collected the most items? Which team collected the fewest items?
First, we need to convert all the portion collected values to the same format (let's use decimals) to compare them:

- Team 1: $ \frac{3}{4}=0.75 $
- Team 2: $ 0.8 $
- Team 3: $ 77.5\%=\frac{77.5}{100}=0.775 $
- Team 4: $ 0.825 $
- Team 5: $ \frac{29}{40}=0.725 $ (since $ 29\div40 = 0.725 $)
- Team 6: $ 76.25\%=\frac{76.25}{100}=0.7625 $
- Team 7: $ \frac{63}{80}=0.7875 $ (since $ 63\div80 = 0.7875 $)
- Team 8: $ 81.25\%=\frac{81.25}{100}=0.8125 $

Now, we compare all these decimal values:

$ 0.725 $ (Team 5) $ < 0.75 $ (Team 1) $ < 0.7625 $ (Team 6) $ < 0.775 $ (Team 3) $ < 0.7875 $ (Team 7) $ < 0.8 $ (Team 2) $ < 0.8125 $ (Team 8) $ < 0.825 $ (Team 4)

# Explanation:
## Step1: Convert all portions to decimals
We convert each fraction or percentage to a decimal. For fractions, we divide the numerator by the denominator. For percentages, we divide by 100.
## Step2: Compare the decimal values
We then compare the decimal values to find the largest and the smallest.
# Answer:
The team that collected the most items is Team 4 (with a portion of 0.825). The team that collected the fewest items is Team 5 (with a portion of 0.725 or $ \frac{29}{40} $).

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QUESTION IMAGE

Question

Explanation:

Problem 15: What number is 28% of 75?

Step1: Convert percentage to decimal

Step2: Multiply the decimal by the number

Step1: Convert percentage to decimal

Step2: Set up the equation and solve

Step1: Convert percentage to decimal

Answer:

Problem 16: 42 is 21% of what number?