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ValentinkaMS [17]
3 years ago
6

the plans for your 13th birthday party are well under way. your parents agree to your guest list of 400 people. you decided it w

ould be fun to give out "door' prizes as the guests enter your party. every 5th guest will receive a black ipod touch and every 7th guest will receive a white psp go. if all 400 people attend this grand event, will any leave with both prizes. if so, how many
Mathematics
1 answer:
diamong [38]3 years ago
5 0

Answer:

11 people will get both the prizes.

Step-by-step explanation:

In this question we need to find common integral multiples of 5 and 7 under 400. As you can see in the figure 35th person is the first one to get both ipod and psp. The LCM (least common multiple) of 5 and 7 which is 35 (!!! <em>I hope you know how to LCM of two integers </em>).

Therefore the integral multiples of 35 will be same as the common multiples of 5 and 7. So, figuring out the number of integral multiples of 35 under 400 will give the answer.

To do that divide the number 400 with 35. On performing the division the quotient will be 11 and the remainder will be 15.

Therefore 11 persons out of 400 will get both the prizes.

Similarly if you want to find the number of person getting ipod then divide 400 with 5. The quotient will be 80. ∴ 80 people will get ipod.

And for psp, divide 400 with 7. The quotient will be 57. ∴ 57 people will get psp.

In these divisions, consider just the quotient, here remainder is of no use.

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hope this helps
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3 years ago
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Vikki [24]

Answer: D

Step-by-step explanation:

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Maria borrowed $120,000 from a bank when she bought her co-op for $156,000.
ANTONII [103]

Answer:

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Step-by-step explanation:

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6 0
3 years ago
No one is answering i posted this question 2 times, this is my 3rd time please answer.
Dahasolnce [82]

Answer:

13

Step-by-step explanation:

First, fill in 3 boxes of the table using the given information (blue numbers on the attached table)

"Of the 32 students that have a cell phone, 19 students do not have a tablet."

The top row of the table is students who have a cell phone.  Therefore, place 19 in the box in this row that is in the "no tablet" column.

"Of the 70 students that have a tablet, 57 students do not have a cell phone."

The first column of the table is students who have a tablet.  Therefore, place 57 in the box in the 2nd row of this column.

"11 students do not have a cell phone or a tablet."

Find the "no cell phone" row and the "no tablet" column and place 11 in the box that coincides.

We can calculate the blank totals using addition (shown by green numbers on the attached table)

  • Total students with no cell phone = 57 + 11 = 68
  • Total students with no tablet = 19 + 11 = 30

To calculate the number of students who have a cell phone AND a tablet:

⇒ Total students with a cell phone <em>minus</em> students with a cell phone but no tablet

⇒ 32 - 19 = 13

4 0
2 years ago
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