A piepie is divided into 2020 equal pieces. GlennGlenn and SophieSophie each ate one fourth 1 4 of the piepie on MondayMonday. The next day, SophieSophie ate one fifth 1 5 of the piepie that was leftover. How many of the pieces of the original piepie remain? Explain your reasoning. Together, GlennGlenn and SophieSophie ate one fourth 1 4 piece (s) on MondayMonday , and SophieSophie ate one fifth 1 5 piece (s) the next day. To find the number of pieces that remain, add these numbers to the total number of pieces. So, 0.450.45 pieces of the original piepie remain.

Question

Mathematics

Alissa

4 December, 11:33

A piepie is divided into 2020 equal pieces. GlennGlenn and SophieSophie each ate one fourth 1 4 of the piepie on MondayMonday. The next day, SophieSophie ate one fifth 1 5 of the piepie that was leftover. How many of the pieces of the original piepie remain? Explain your reasoning. Together, GlennGlenn and SophieSophie ate one fourth 1 4 piece (s) on MondayMonday , and SophieSophie ate one fifth 1 5 piece (s) the next day. To find the number of pieces that remain, add these numbers to the total number of pieces. So, 0.450.45 pieces of the original piepie remain.

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Answers (1)

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Leonard Yang · Answer 1

Pieces remaining = 1 - (1/4 + 1/4) - (1/2 x1/5) = 1/2 - (1/2 x1/5) = 1/2 - 1/10 = 4/10

Therefore, 4/10 x 20 = 8 pieces.

Step-by-step explanation:

Sophie ate 1/4 = 5 pieces

Glenn ate 1/4 = 5 pieces

Remaining pieces = 20 - 5 - 5 = 10 pieces

On Monday, Sophie ate = 1/5 x 10 = 2 pieces

Therefore, remaining pieces = 10 - 2 pieces = 8 pieces

Sophie and Glenn consumed half of the pie the first day. This is equal to 10 pieces. The remaining pieces will be 10. If, on Monday, Sophie ate 1/5 of 10 pieces, representing 2 pieces, the number left over is 10 Minus 2, which equals 8 pieces.