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.
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Parts and Whole
Equal Parts of a Whole
Mohan ate half a pizza on M...
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Asked on December 30, 2019 by
Rajarshi Perisetla
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?
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ANSWER
Pizza he ate on Monday =
2
1
Pizza left =
2
1
Pizza he ate on Tuesday =
2
1
×
2
1
=
4
1
Pizza left =
2
1
−
2
1
=
4
1
Pizza he ate on Wednesday =
2
1
×
4
1
=
8
1
Pizza left =
4
1
−
8
1
=
8
1
Continuing this pattern we see that
Pizza he ate on Thursday Friday Saturday and Sunday is
16
1
,
32
1
,
64
1
and
128
1
respectively
∴ Quantity of pizza ate during the week
=
2
1
+
4
1
+
8
1
+
16
1
+
32
1
+
64
1
+
128
1
=
128
64−32+16+8+4+2+1
=
128
127
=
128
127
×100% =99.22%