Problem: Half of the students who ate lunch at Mesa on Friday brought their lunch and did not buy anything at the cafeteria. Out of the remaining half who bought something, ¾ bought pizza. Out of the pizza bought, ½ was cheese and ¼ was pepperoni. The remaining 15 pizzas were vegetarian. How many students were eating lunch at Mesa that Friday?
2006-11-12 08:22:02 · 12 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
Let # of students be s
Therefore s = 2*(4/3*4* 15) = 160
Detailed answer:
15 = ¼ of students who bought pizza
So # of students who bought pizza = 4* 15 = 60
60 = ¾ of students who bought lunch
So # of students who bought lunch = 60/¾ = 80
80 = ½ of students in cafeteria
So # of students in cafeteria = 80/½ = 160
2006-11-12 08:25:28 · answer #1 · answered by Wal C 6 · 2⤊ 0⤋
Out of all pizzas bought 1/2 were cheese and 1/4th were pepperoni. So the vegetarian pizzas were 1 - ( 1/2 + 1/4) = 1/4
Now 1/4the of the total pizzas = 15 students.
That means 15/(1/4) = 60 students bought pizza.
But pizza was only bought by 3/4th of the students who bought something.
Thus 60 / (3/4) = 80 students bought something.
But this is only 1/2 of the all students who ate at Mesa, so the total number of students that ate at Mesa must be:
80 / (1/2) = 160.
2006-11-12 08:31:08 · answer #2 · answered by Amit Bapat 2 · 2⤊ 0⤋
Let x = total number of students esatin lunch
then x/2 = ones who bought lunch
then 3/4(x/2) = 3x/8 = # students who ate pizza
So x/2 -3x/8 = x/8 = # students with vegetarian pizzas
Thus x/8 =15
x= 120 students
2006-11-12 08:36:44 · answer #3 · answered by ironduke8159 7 · 1⤊ 0⤋
1/2 x 3/4 x 1/4 = 3/32 of all students -> 15
1 -> ?
answer = (1 x 15) / (3/32) = 160 students
2006-11-12 08:25:50 · answer #4 · answered by anon 2 · 2⤊ 0⤋
15 PIZZAS WERE VEGO
15 = 1/4 OF PIZZA
15 X 4 = 60 PIZZA EATERS
60 = 3/4 OF CAFETERIA BUYERS
60 DIVIDE BY 3 = 20
20 MULTIPLY BY 4 = 80
80 BUYERS
80 = HALF OF STUDENTS
80 X 2 = 160
160 STUDENTS EATING
2006-11-12 08:59:52 · answer #5 · answered by bentomsun 3 · 2⤊ 0⤋
slope of this line = (-4 - a million)/(-5 - 5) = -5/-10 = a million/2 The equation is (y - -4) = (a million/2)(x - -5) In customary linear equation form that's y = x/2 - 3/2 verify that the two factors given fulfill this function ProfRay
2016-10-21 23:30:21 · answer #6 · answered by ? 4 · 0⤊ 0⤋
160
2006-11-12 08:25:26 · answer #7 · answered by James K 2 · 2⤊ 0⤋
80
(3/4*X)*1/4=15
Solve for x
2006-11-12 08:27:23 · answer #8 · answered by just browsin 6 · 1⤊ 1⤋
All of them ate lunch.
2006-11-12 08:24:43 · answer #9 · answered by corkscrewpirate 4 · 0⤊ 2⤋
You don't provide enough data, unless...are we assuming one pizza per student?
2006-11-12 08:26:07 · answer #10 · answered by Anonymous · 0⤊ 3⤋