¼ of a box is filled with candies and the rest is cookies. 3/5 of the cookies are chocolate chip cookies and the rest are oatmeal raisin cookies. What fraction of the box is an oatmeal raisin cookie?

Respuesta :

Answer:

3/10

Step-by-step explanation:

If ¼ of a box is filled with candies and the rest is cookies, then the fraction of cookies in the box will be expressed as;

fraction of cookies in the box = 1 -¼

fraction of cookies in the box = [tex]\frac{4-1}{4}[/tex] [tex]= \frac{3}{4}[/tex]

If 3/5 of the cookies are chocolate chip cookies, then the amount of chocolate chip cookies in the box will be 3/5 of 3/4 i.e 9/20 chocolate chip cookies. If the rest are oatmeal raisin cookies, the amount of oatmeal raisin cookies will be 3/4 - 9/20

fraction of oatmeal raisin cookies =  3/4 - 9/20

= (15-9)/20

= 6/20

= 3/10

Hence 3/10 of the box is an oatmeal raisin cookies