Question

The math counts club had a party at school.there were 20 cookies and 40 slices of pizza to be shared equally.each student had the same number of whole cookies and the same number of slices of pizza with nothing left over .how many student could have been at the party? (there is more than one answer).

Answer 1

there would be 4 students

5 cookies for each

10 slices of pizza for each

hope this helps

Answer 2

possible number of students can be 2 , 4 or 5

Explanation:

Given:

Total number of cookies = 20

Total number of pizza slices = 40

Now,

The ration of Pizza to Cookies =
`\frac{\textup{40}}{\textup{20}}` = 2:1

therefore,

For every 1 cookie a student can have 2 pizzas

Now,

let the number of students be x and y be the number of cookies each student had

therefore,

x × y = 20

here,

we can have

x = 1 and y = 20

x = 2 and y = 10

x = 4 and, y = 5

x = 5 and y = 4

hence,

the possible number of students can be 2 , 4 or 5