SOLUTION: Jeremy baked a cake. Sue cut the cake into equal-sized pieces and took one piece. Nathan took 1/5 of the remaining pieces. Finally, Jeremy took 1/3 of the remaining pieces. If 1
Algebra.Com
Question 1015921: Jeremy baked a cake. Sue cut the cake into equal-sized pieces and took one piece. Nathan took 1/5 of the remaining pieces. Finally, Jeremy took 1/3 of the remaining pieces. If 1⁄2 of the cake is still remaining, how many pieces did Sue cut the cake into?
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
piece size=1/x
cut into x pieces
1-(1/x) after Sue
(1-(1/x))-(1-(1/x)/5) after Nathan.
This is (x-1)/x - [(x-1)/5] after Nathan.
this is (4/5)(x-1)/x
Now, 4(x-1)/5x is left
After Jeremy takes 1/3, there is 2/3 of that left or 8(x-1)/15x left.
That equals 1/2
16(x-1)/15x=1
16x-16=15x
x=16 pieces ANSWER
after Sue, 15/16 is left
Nathan took 1/5 of that so that 12/16 pieces are left
Jeremy took 1/3 of that so now 8/16 pieces are left or half.
RELATED QUESTIONS
We are four friend and have one cake.it cut into equal slices.first friend took 1/3 of... (answered by josgarithmetic)
a cook cuts a cake into 35 equal pieces and an identical cake into 42 pieces. The... (answered by khwang)
Mr.Algebra baked a cake for the Midwest Mathematics Convention. He designed the cake in... (answered by solver91311)
Mr. Smith had just finished baking a cake for the mathematicians’ banquet. The cake was (answered by math_tutor2020)
Before checking with the caterer, a cook cuts cake into 35 equal pieces and an identical... (answered by scott8148)
a restaurant had 4 cakes, each cut into tenths. by noon, 4/5 of all the pieces were sold. (answered by macston,algebrahouse.com)
A 186 inch piece of rope is cut into three pieces where one piece is four times longer... (answered by ewatrrr)
Michel cut her cake into 6 pieces of equal size. Grace cut her cake into 8 pieces of... (answered by solver91311)
Geometry Jill baked a rectangular cake for her brothers, John and Jerry. She planned to... (answered by addingup)