Difference between revisions of "2020 AMC 8 Problems/Problem 5"

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<math>\textbf{(A) }5 \qquad \textbf{(B) }10 \qquad \textbf{(C) }15 \qquad \textbf{(D) }20 \qquad \textbf{(E) }25</math>
 
<math>\textbf{(A) }5 \qquad \textbf{(B) }10 \qquad \textbf{(C) }15 \qquad \textbf{(D) }20 \qquad \textbf{(E) }25</math>
  
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==Solution==
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To equally distribute to <math>5</math> cups, we will simply divide <math>\dfrac{3}{4}</math> by <math>5.</math> Simplifying, we get: <math>\dfrac{3}{4} \cdot \dfrac{1}{5} = \dfrac{3}{20}.</math> Converting that into a percent, we get an answer of <math>\boxed{\textbf{(C) }15}</math>
 
==See also==
 
==See also==
 
{{AMC8 box|year=2020|before=First problem|num-a=2}}
 
{{AMC8 box|year=2020|before=First problem|num-a=2}}
 
{{MAA Notice}}
 
{{MAA Notice}}

Revision as of 00:17, 18 November 2020

Problem 5

Three fourths of a pitcher is filled with pineapple juice. The pitcher is emptied by pouring an equal amount of juice into each of $5$ cups. What percent of the total capacity of the pitcher did each cup receive?

$\textbf{(A) }5 \qquad \textbf{(B) }10 \qquad \textbf{(C) }15 \qquad \textbf{(D) }20 \qquad \textbf{(E) }25$

Solution

To equally distribute to $5$ cups, we will simply divide $\dfrac{3}{4}$ by $5.$ Simplifying, we get: $\dfrac{3}{4} \cdot \dfrac{1}{5} = \dfrac{3}{20}.$ Converting that into a percent, we get an answer of $\boxed{\textbf{(C) }15}$

See also

2020 AMC 8 (ProblemsAnswer KeyResources)
Preceded by
First problem
Followed by
Problem 2
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
All AJHSME/AMC 8 Problems and Solutions

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