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eduard
3 years ago
14

A radio station gives away $15 to every 15th caller, $25 to every 25th caller, and free concert tickets to every 100th caller. W

hen will the station first give away all three prizes to one caller? PLEASE HELP. Show your work !!
Mathematics
2 answers:
VashaNatasha [74]3 years ago
7 0
The answer is 300th caller.
to find the answer you have to take the LCM of all three numbers of callers that are 15,25 and 100
so, lets take the LCM
5     15, 25, 100
----------------------
5      3, 5, 20
-----------------------
3      3, 1, 4
----------------------
4       1, 1, 4
-----------------------
          1, 1, 1
Now ,multiply the numbers 5,5, 3 and 4.
5 x 5 x 3 x 4 = 25 x 12 = 300

Livikins2 years ago
0 0

300th caller

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Answer:

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Step-by-step explanation:

Given : A bag contains three red marbles, two green ones, one lavender one, four yellows, and five orange marbles.

To find : How many sets of four marbles include all the red ones?

Solution :

Number of red marbles = 3

Number of green marbles = 2

Number of lavender marbles = 1

Number of yellow marbles = 4

Number of orange marbles = 5

We have to form sets of four marbles include all the red ones,

For position of getting red ones we have three red marbles i.e. ^3C_3

For the fourth one we have 12 choices i.e. ^{12}C_1

Total sets of four marbles include all the red ones is

=^3C_3\times ^{12}C_1

=1\times 12

=12

Therefore, There are 12 sets of four marbles include all the red ones.

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