This makes no sense:
Students in classes, displayed below, ate the same ratio of cheese pizza slices to pepperoni pizza slices.
Below is the Slices of Cheese Pizza column from the table. Fill it in with fractions or mixed numbers (like 7 1/2)
Slices of Cheese Pizza
__________, 6, 8,
________, 313,________
To fill in the missing values in the "Slices of Cheese Pizza" column, we need to determine the ratio of cheese pizza slices to pepperoni pizza slices for each row.
Let's analyze the information given:
"Students in classes ate the same ratio of cheese pizza slices to pepperoni pizza slices."
From this statement, we can infer that the ratio of cheese pizza to pepperoni pizza slices is consistent across all rows. This means that the ratio remains the same even if the numbers change.
Now, let's examine the known values in the column:
6, 8, 313
To determine the missing values, we need to find a common ratio between these numbers.
We can start by comparing the first two values, 6 and 8. We can see that 6 is three-fourths (3/4) of 8 since 6 divided by 8 equals 0.75.
Next, we can compare the last two values, 8 and 313. To obtain the common ratio, we need to divide 8 by 313, which equals approximately 0.03 (rounded to two decimal places).
Now that we have found the common ratio, we can apply it to determine the missing values.
To find the missing value between 6 and 8, we need to multiply 8 by the common ratio (0.03). 8 multiplied by 0.03 equals 0.24. We can express this as 0.24 or 24/100.
To find the missing value between 313 and 0.24, we need to divide 313 by the common ratio (0.03). 313 divided by 0.03 equals approximately 10,433.33 (rounded to two decimal places). We can express this as a mixed number as 10,433 and 1/3 or as an improper fraction as 31,300/3.
Now we can fill in the missing values in the "Slices of Cheese Pizza" column:
Slices of Cheese Pizza
24/100, 6, 8,
313, 31300/3, 0.24 or 24/100