SOLUTION: devon, michael and trisha ate a pizza that had been cut into 8 equal slices. Devon ate 1/4 of the pizza. Trisha ate 3/8 of the pizza. If there was no pizza left over, how much of t

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: devon, michael and trisha ate a pizza that had been cut into 8 equal slices. Devon ate 1/4 of the pizza. Trisha ate 3/8 of the pizza. If there was no pizza left over, how much of t      Log On


   



Question 359437: devon, michael and trisha ate a pizza that had been cut into 8 equal slices. Devon ate 1/4 of the pizza. Trisha ate 3/8 of the pizza. If there was no pizza left over, how much of the pizza did Michael eat?
Found 3 solutions by mananth, neatmath, stanbon:
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
devon, michael and trisha ate a pizza that had been cut into 8 equal slices. Devon ate 1/4 of the pizza. Trisha ate 3/8 of the pizza. If there was no pizza left over, how much of the pizza did Michael eat?
devon & Trisha ate 1/4 +3/8
=5/8 of the pizza
...
Michael ate 1-5/8
=3/8 of the pizza
,.,.
m.ananth@hotmail.ca

Answer by neatmath(302) About Me  (Show Source):
You can put this solution on YOUR website!
We are looking for d%2Bt%2Bm=p

where d is slices eaten by Devon, t is slices eaten by Trisha, m is slices eaten by Michael, and p is total Pizza slices.

We are given that they ate the entire 8 slices, so

d%2Bt%2Bm=8

Devon ate 1/4 of the pizza, or (1/4)*8 or 2 slices.

Trish ate 3/8 of the pizza or (3/8)*8 or 3 slices.

Since all 8 slices were eaten, Michael must have eaten the remaining 3 slices!

Thus, d%2Bt%2Bm=p or 2%2B3%2B3=8 which checks out!

EDIT: Of course I forgot to put it into the proper form!

Since Michael ate 3 pieces, he ate 3 of the 8 pieces, which means he ate 3/8 of the pizza!

Michael ate 3 slices of pizza, or 3/8 of the entire pizza!

I hope this helps!

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
devon, michael and trisha ate a pizza that had been cut into 8 equal slices. Devon ate 1/4 of the pizza. Trisha ate 3/8 of the pizza. If there was no pizza left over, how much of the pizza did Michael eat?
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Michael ate 8/8-(1/4)-(3/8) = (8/8)-(2/8)-(3/8) = 3/8 of the pizza
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Cheers,
Stan H.