Answered

Olive have some cookies.If she gave 5 cookies each to some girls she would have 14 left.If she gave 9 cookies each to some girls she would be short of 14 cookies.How many girls did Olive give the cookies to?

Sagot :

Mlcparra16viz
So we represent the number of cookies as C
and the number of girls as x
[tex]C-5x=14[/tex].........1
[tex]C-9x=-14[/tex]........2

1+2= [tex]2C-14x=0[/tex]

[tex]2C=14x[/tex]
[tex]C=7x[/tex]

substitute

[tex]7x-5x=14[/tex]
[tex]2x=14[/tex]
[tex]x=7 [/tex]

There are 7 girls