Respuesta :
From the information provided in the question the following assumptions can be made;
32 people altogether
1 requested all three toppings
3 vegetarians got mushroom only
9 requested toppings with mushrooms included
12 requested toppings with chicken included
10 requested toppings that included pepperoni
2 wanted chicken and pepperoni only
2 wanted mushroom and pepperoni
x amount of people wanted chicken only
x amount of plain pizzas
all this information is depicted in the diagram attached
the amount of pepperoni only = 10 - 1 - 2 - 2
= 5
the amount of mushroom only (y)
the number of pizza with both chicken and mushroom (z)
y = 9 - 1 - 2 -z
= 6-z
amount of chicken toppings only
x = 12 - 2 - 1 - z
= 9-z
total number of pizzas
32 = 1 + 2 + 2 + 5 + y + x + z +x
= 10 + y + 2x +z
substiuting y = 6 - z
32 = 10 + 6 - z + 2x + z
32= 16 + 2x
2x = 16
x = 8
then x = 9-z
8 = 9-z
z = 1
and y = 6 - z
y = 5
therefore the final answer was supposed to be
8 plain pizzas
8 chicken only
5 pepperoni only
5 mushrooms only
1 all toppings
2 chicken and pepperoni
2 mushroom and pepperoni
1 chicken and mushroom
32 people altogether
1 requested all three toppings
3 vegetarians got mushroom only
9 requested toppings with mushrooms included
12 requested toppings with chicken included
10 requested toppings that included pepperoni
2 wanted chicken and pepperoni only
2 wanted mushroom and pepperoni
x amount of people wanted chicken only
x amount of plain pizzas
all this information is depicted in the diagram attached
the amount of pepperoni only = 10 - 1 - 2 - 2
= 5
the amount of mushroom only (y)
the number of pizza with both chicken and mushroom (z)
y = 9 - 1 - 2 -z
= 6-z
amount of chicken toppings only
x = 12 - 2 - 1 - z
= 9-z
total number of pizzas
32 = 1 + 2 + 2 + 5 + y + x + z +x
= 10 + y + 2x +z
substiuting y = 6 - z
32 = 10 + 6 - z + 2x + z
32= 16 + 2x
2x = 16
x = 8
then x = 9-z
8 = 9-z
z = 1
and y = 6 - z
y = 5
therefore the final answer was supposed to be
8 plain pizzas
8 chicken only
5 pepperoni only
5 mushrooms only
1 all toppings
2 chicken and pepperoni
2 mushroom and pepperoni
1 chicken and mushroom
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