The math club members were throwing a pizza party, and each person had the choice of two slices with one topping.
1/2 of the students wanted pepperoni, 1/4 wanted extra cheese, 1/8 wanted sausage, and 4 wanted mushrooms.
How many students were asked?
Answer (3)
1/8 = 4 so then just multiply by 8 to get 32
To determine the number of students, we use the given fractions of students preferring different toppings, and equate the number of students who want mushrooms to the remaining fraction of the total. By calculating, we find that there were a total of 32 students asked about their favorite pizza toppings.
The problem involves finding out how many students were asked about their favorite pizza toppings if each type of topping is chosen by a specific fraction of students, and 4 students chose mushrooms. To solve this, we will let the total number of students be x. Since we know that:
1/2 of the students wanted pepperoni
1/4 wanted extra cheese
1/8 wanted sausage
4 wanted mushrooms
We can express the number of students who want mushrooms as a fraction of the total number of students by setting it equal to the remaining fraction;
1 - (1/2 + 1/4 + 1/8) = 1/8
Thus, (1/8) * x = 4. Solving for x, we multiply both sides by 8 to get x = 32.
Therefore, 32 students were asked about their favorite pizza toppings.
A total of 32 students were asked about their favorite pizza toppings. This number is calculated by analyzing the fractions of students wanting different toppings along with the number of students who wanted mushrooms. By setting up the equation and solving for the total number of students, we find that there were 32 students in total.
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