Brownie Bake

Solution

Name Kind Fraction
Austin Nuts one-third
Noah Mint one-half
Isaac Chocolate Chip three-fourths
Emily Plain one-sixth
Sandra Plain five-sixths

Explanation

Pan of brownies cut into three pieces with two pieces gone. Pan of brownies cut into four pieces with one piece gone. Pan of brownies cut into six pieces with one piece gone. Pan of brownies cut into six pieces with five pieces gone. Pan of brownies cut in half with one piece gone.
Nuts Chocolate Chip Plain Plain Mint
Austin Isaac Sandra Emily Noah
one-third three-fourths five-sixths one-sixth one-half
  1. The girls both cut their brownies into sixths.
    These must be the girls' brownies:
    Pan of brownies cut into six pieces with one piece gone. Pan of brownies cut into six pieces with five pieces gone.
    five-sixths one-sixth
  2. Half of Noah's mint brownies are left.
    These must be Noah's brownies.
    They are mint.
    Pan of brownies cut in half with one piece gone.
    one-half


  3. Isaac does not like nuts, so he did not put nuts in his brownies.
    Skip this clue for now.

  4. Sandra's brownies are the ones with the most left.
    These must be Sandra's brownies.
    They have the most left.
    Pan of brownies cut into six pieces with one piece gone.
    five-sixths
    So these must be Emily's brownies.
    The brownies are cut into sixths, but there are fewer than Sandra's.
    Pan of brownies cut into six pieces with five pieces gone.
    one-sixth


  5. There are more chocolate chip brownies left than brownies with nuts.
    These are the only 2 left:
    Pan of brownies cut into three pieces with two pieces gone. Pan of brownies cut into four pieces with one piece gone.
    one-third three-fourths
      More of these brownies are left.
    They must be chocolate chip.


  6. Since Isaac did not put nuts in his brownies, the chocolate chip brownies must be his.
    These must be Isaac's.
    Pan of brownies cut into four pieces with one piece gone.
    three-fourths


  7. The only brownies left must be Austin's.
    They must be the brownies with nuts.
    These must be Austin's.
    Pan of brownies cut into three pieces with two pieces gone.
    one-third




Houghton Mifflin Math Grade 3