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Brums [2.3K]
2 years ago
12

Cheryl and rodney are mixing yellow and blue paint to make green paint. The table shows how much of each color they use. Whose g

reen paint has more blue.
show your work

Mathematics
1 answer:
Tomtit [17]2 years ago
4 0

The amount of blue color in the green paint is an illustration of ratios and proportions.

Cheryl's green paint has more blue color

The proportion of blue color is calculated as:

\mathbf{Proportion = \frac{Blue}{Blue+ Yellow}}

So, we have:

\mathbf{Cheryl= \frac{16}{16+ 24}}

\mathbf{Cheryl= \frac{16}{40}}

\mathbf{Cheryl= 0.40}

Express as percentage

\mathbf{Cheryl= 40\%}

\mathbf{Rodney= \frac{6}{6+ 10}}

\mathbf{Rodney= \frac{6}{16}}

\mathbf{Rodney= 0.375}

Express as percentage

\mathbf{Rodney= 37.5\%}

By comparison: 40% >37.5%

Hence, Cheryl's green paint has more blue color

Read more about proportions at:

brainly.com/question/21126582

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3 years ago
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Dominik [7]
The answer is:  " 2 :5 " ;  or, write as:  " 2/5 " . 
________________________________________________________
The ratio of 'girls' to 'all students' is:  "2: 5 " ;  or, write as:  " 2/5 ".
________________________________________________________
Explanation:
________________________________________________________
Given:  The ratio of boys to girls is:  " 3:2 " .  

Problem:  Find the ratio of "girls" to "all students:
________________________________________________________
Note:    This ratio of "boys to girls", which is " 3 : 2 " ; 
________________________________________________________
    →  can be expressed as " 3x: 2x"  ;  

in which the total number of students is:  " 3x + 2x " = 5x " .

   → The total number of students is represented as:  " 5x " .  
________________________________________________________
→  The ratio of "girls to boys" is:  "2x : 3x" .

→  {that is;  the "inverse" of the ratio of "boys to girls"} ;  
→  {that is;  the "inverse" of  " 3x: 2x" } ;  →  which is:  " 2x : 3x " .
________________________________________________________ 

The ratio of "girls" to "all students" is:  "2x : 5x "  ;  or " 2x/5x " ; 
                                             → Both "x" values cancel ;  {since: " x/x = 1 "} ; 
_________________________________________________________
       →  and we have the answer:  " 2 :5 " ;  or, write as:  " 2/5 " . 
_________________________________________________________
The ratio of 'girls' to 'all students' is:  " 2 :5 " ;  or, write as:  " 2/5 ".
_________________________________________________________
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22 houses can be cleaned in 11 hours.

Step-by-step explanation:

It is given that;

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1 hour = \frac{12}{6}\ houses\ cleaned\\

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In 1 hour, 2 houses can be cleaned, therefore,

11 hours = Time*houses cleaned in one hour

11 hours = 11*2 =22 houses cleaned

22 houses can be cleaned in 11 hours.

Keywords: unit rate, multiplication

Learn more about multiplication at:

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