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Anna [14]
2 years ago
13

Where are the Cookies? Mrs. Goodwin left a tray of eookies on the counter early one morning. Dean walked by before lunch and dec

ided to take 1/3 of the cookies on the tray. Later that ufternoon Elsie came in and ate 1/4 of the remaining cookies. After dinner, Clark saw the tray of cookies and ate 1/2 of the cookies remaining at that ti me. Before bedtime, Mrs. Goodwin discovered the tray had only 6 cookies left. How many cookies were on the tray when Mrs. Goodwin first left it on the counter? IHow many cookies did each of the children eat?​
Mathematics
1 answer:
dsp732 years ago
6 0

24 cookies

dean ate 8 cookies

elise ate 4 cookies

clark ate 6 cookies

Step-by-step explanation:

i am pretty sure this is correct  

make a diagram of a circle with twelve spots

change 1/3 to 4/12, so color in 4 spots for dean

multiplie 1/4 times 8/12 ( the remaining spots), color in that number of spots for elise

do the same with 1/2, color in the amount of spots for clark

you will have 3 spots left, meaning each spot is worth 2 cookies

multiplie the number of spots times two to get your answer for each person

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<u><em>Step(i):-</em></u>

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n (S) = 52C₁ = 52

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n( E_{1} ) = 4 _{C_{1} }  = 4

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<u><em>step(ii):-</em></u>

The probability  of drawing of a king or a  queen from a standard deck of playing cards

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P( E₁ U E₂ ) = \frac{8}{52}

<u><em>step(iii):-</em></u>

The probability of drawing the compliment of a king or a  queen from a standard deck of playing cards

P(E_{1}UE_{2})  ^{-} = 1- P(E_{1} U E_{2} )

P(E_{1}UE_{2})  ^{-} = 1- \frac{8}{52}

P(E_{1}UE_{2})  ^{-} = \frac{52-8}{52} = \frac{44}{52} = 0.846

<u><em>Conclusion</em></u>:-

The probability of drawing the compliment of a king or a  queen from a standard deck of playing cards = 0.846

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