Question

Miss booth has 16 red buttons and 24 blue buttons. she is making finger puppets. each puppet has the same number of blue buttons and red buttons. how many puppets can she make if she uses all of the buttons?

Answer 1

Answer:Total outcome is 50 [because the number produced by the machine is from 1 to 50]

Question a:

Multiple of 10 are 10, 20, 30, 40, 50

There are five possible outcomes for multiple of 10

P(Multiple of 10) = 5/50 = 1/10

Question b:

Number 1 to 50 will be all the outcomes that are not 100

There are 50 possible outcomes

P(not 100) = 50/50 = 1

Question c:

Multiple of 4 that are less than 50 are 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48

There are 12 possible outcomes for multiple of 4

We want 'not multiple of 4' so we need to do 50 - 12 = 38 outcomes

P(not a multiple of 4) = 38/50 = 19/25

Question d:

One digit numbers are 1, 2, 3, 4, 5, 6, 7, 8, 9

There are 9 possible outcomes

P(one-digit number) = 9/50

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Answer 2

8 puppets. the GCF of 16 and 24 is 8, and 16 divided by 2= 8. So 8 puppets, with 2 buttons on each.