Sheet # 92 Critical Thinking
Name: _____________________ Date_____________
Use drawings, words, or numbers to explain how you got your answer.
A father of three children made a batch of cookies for them as he had promised to do and then went shopping. Miguel came home, took one-third of the cookies, and went to visit a friend. Mary came home without knowing that Miguel had been home, took one-third of the remaining cookies, and went to her room. Jose came home without knowing that either of his siblings had been there, took one-third of the remaining cookies, and left the remaining 16 cookies on the table for his siblings.
How many cookies did the father leave for the children?
How many cookies did each child take?
Answers for sheet # 92
Let us assume father made n cookies.
Miguel took 1/ of n = n/3
cookies left = n - (n/3) = (2n/3)
Mary took 1/3 of (2n/3) = 2n/9
Cookies left = 2n/3 - (2n/9) = 4n/9
Jose took 1/3 of (4n/9) = 4n/27
Cookies left 4n/9 - (4n/27) = 8n/27
8n/27 = 16
n = 54 cookies
Father made 54 cookies
Miguel ate 18 cookies
Cookies left = 36 cookies
Mary ate = 12 cookies
Cookies left = 24 cookies
Jose ate 1/3 of 24 cookies
8 cookies
Cookies left = 16 cookies