Problema Solution

During the first four days of thus week, katie and her friends together ate an average of 8 cookies a day. If the cookies they ate on the fifth day are included, together they ate an average of 10 cookies a day for the five days. How many cookies did they eat on the fifth day?

Answer provided by our tutors

let


x = the total number of cookies eaten in the first 4 days


y = the number of cookies eaten on the fifth day


x/4 = 8


x = 4*8


x = 32 cookies


together they ate an average of 10 cookies a day for the five days


(y + x)/5 = 10


(y + 32)/5 = 10


by solving we find:


y = 18 cookies


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They ate 18 cookies on the fifth day.