A calzone is divided into 24 equal pieces. Glenn and Ben each ate one eighth of the calzone on Thursday. The next day, Ben ate one third of the calzone that was leftover. How many of the pieces of the original calzone remain? Explain your reasoning. Together, Glenn and Ben ate nothing piece (s) on Thursday , and Ben ate nothing piece (s) the next day. To find the number of pieces that remain, ▼ subtract these numbers from add these numbers to the total number of pieces. So, nothing pieces of the original calzone remain.

Question

Mathematics

Danna Burke

26 June, 07:56

A calzone is divided into 24 equal pieces. Glenn and Ben each ate one eighth of the calzone on Thursday. The next day, Ben ate one third of the calzone that was leftover. How many of the pieces of the original calzone remain? Explain your reasoning. Together, Glenn and Ben ate nothing piece (s) on Thursday , and Ben ate nothing piece (s) the next day. To find the number of pieces that remain, ▼ subtract these numbers from add these numbers to the total number of pieces. So, nothing pieces of the original calzone remain.

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Answers (1)

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Nick Fox · Answer 1

12 pieces

Step-by-step explanation:

Since on Thursday Glenn and Ben each ate an eight, then total they ate 2*1/8=2/8=¼

¼ of 24 pieces is equivalent to

¼*24=6 pieces

The number of pieces that remain would be 24-6=18 pieces

The one third of leftover ate rhe next day will be equivalent to

⅓ of 18

⅓*18=6 pieces

Remaining pieces next day will be 18-6=12 pieces

Therefore, only 12 pieces out of 24 original pieces remain the following day.