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Of 3600 students surveyed, 40% eat cold pizza for breakfast. How many students do not eat cold pizza for breakfast?

seo-qna
Last updated date: 15th Jul 2024
Total views: 346.8k
Views today: 3.46k
Answer
VerifiedVerified
346.8k+ views
Hint: We can solve the given problem by using the proportion method. proportion method is based on writing two ratios .one ratio is present ratio, written as \[\dfrac{{{\text{Part of 100}}}}{{{\text{100}}}}\].the second ratio is written as \[\dfrac{{{\text{part}}}}{{{\text{whole}}}}\].these two ratios forms proportion.

Complete step-by-step answer:
Given: total number of students \[ = 3600\]
Among them the number of students who eat cold pizza for breakfast is \[40\% \]
As it is given in % first we have to calculate total number of students who eat cold pizza for breakfast
And then we can find the number of students who do not eat cold pizza.
We can Use the proportion method to solve this and is given by
\[\dfrac{{{\text{part}}}}{{{\text{whole}}}} = \dfrac{{{\text{Part of 100}}}}{{{\text{100}}}}\]
We have to solve,\[40\% \] is what part of \[3600\]
here part represent the number of students who eat cold pizza for breakfast
\[\dfrac{{{\text{part}}}}{{3600}} = \dfrac{{40}}{{{\text{100}}}}\]
After cross multiplication we get
\[{{100 \times part = 40 \times 3600}}\]
\[{{100 \times part = 144000}}\]
\[{{part = }}\dfrac{{{\text{144000}}}}{{100}}\]
\[{{part = 1440}}\]
Therefore, the number of students who eat cold pizza for breakfast is \[{\text{1440}}\]
But we have to find the number of students who do not eat cold pizza for breakfast and is given by
\[{\text{Total number of students - number of students who eat cold pizza for breakfast}}\]
On the substitution we get
\[3600 - 1440\]
\[ = 2160\]
Therefore, the number of students who do not eat cold pizza for breakfast is \[ = 2160\]
So, the correct answer is “ \[ 2160\]”.

Note: Proportion is an equation that says that two or more ratios are equal. there are four types of proportion 1) direct proportion 2) inverse proportion 3) compound proportion and 4) continued proportion. further there are three methods to solve proportions: they are vertical, horizontal and diagonal.