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Peter babysits his sister on Monday and Friday. He babysits for his neighbor 40% of the days Monday through Friday. He babysits for his sister and his neighbor on different days. On the weekend, Peter babysits 50% of the days. Choose True or False for each statement.

Peter babysits a total of 6 days each week.

Peter babysits either Saturday or Sunday.

Peter babysits 80% of the days Monday through Friday.

Peter babysits 90% of the total days each week.

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Answer:

a) Peter babysits a total of 6 days each week.

  • False

b) Peter babysits either Saturday or Sunday.

  • True

c) Peter babysits 80% of the days Monday through Friday.

  • True.

d) Peter babysits 90% of the total days each week.

  • False

Explanation:

1. Peter babysits his sister on Monday and Friday.

  • that is 2 days

2. He babysits for his neighbor 40% of the days Monday through Friday.

  • 40% of 5 days is 0.40 × 5 = 2 days

3. He babysits for his sister and his neighbor on different days.

  • Then, he babysits 2 + 2 = 4 days Monday through Friday.

4. On the weekend, Peter babysits 50% of the days.

  • That is one additional day, and makes a total of 5 days in a weak.

Statements:

a) Peter babysits a total of 6 days each week.

  • False: we calculated 5 days in a week.

b) Peter babysits either Saturday or Sunday.

  • True: since, on the weekends he babysits 50% of the days: that is one day which may be either Saturday or Sunday.

c) Peter babysits 80% of the days Monday through Friday.

  • 80% of 5 is 0.8 × 5 = 4, which is what we calculated on the point 3 above. Then, it is true.

d) Peter babysits 90% of the total days each week.

  • 90% of 7 is 0.9 × 7 = 6.3. On point 4 above, we calculated that he babysits 5 days in a week. Thus, this is false.

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