Mohan ate half a pizza on Monday. He ate half of what was left on Tuesday and so on. He followed this pattern for one week. How much of the pizza would he have eaten during the week. Please answer urgently.
Answers
Answered by
1
Answer:
99.22%
Step-by-step explanation:
Answered by
1
Answer:
Hello mate, here is your answer.
Pizza he ate on Monday = 1/2
Pizza left = 1/2
Pizza he ate on Tuesday = 1/2 ×1/2 = 1/4
Pizza left = 1/2 – 1/4 = 1/4
Pizza left = 1/2 – 1/4 = 1/4
Pizza he ate on Wednesday = 1/2 × 1/4 = 1/8
Pizza left = 1/4 – 1/8 = 1/8
Continuing this pattern, we see that
Pizza he ate on Thursday, Friday and Saturday and Sunday is 1/16, 1/32, 1/64 and 1/128 respectively.
Therefore, quantity of pizza he ate during the week = 1/2 + 1/4 + 1/8 + 1/16 + 1/32 + 1/64 + 1/128
= 127/128
= 127/128 × 100%
= 99.22%
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