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AveGali [126]
3 years ago
11

the ratio of the number of adults to the students at the prom has to be 1:10 last year there were 477 more students than adults

at the prom. if the school is expecting the same attendance this year , how many adults have to attend prom ?
Mathematics
1 answer:
eduard3 years ago
4 0
x-\ number\ of\ adults\\\\
(x+477)-\ number\ of\ students\\\\
Ratio:\\
\frac{adults}{students}=\frac{1}{10}\\
\frac{x}{x+477}=\frac{1}{10}\\
10x=x+477\\
10x-x=477\\9x=477\ \ \ |:9\\x=53.\\\\There\ will\ be\ 53\ adults\ at\ the\ prom.
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Step-by-step explanation:

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Changes made to your input should not affect the solution:

(1): "t0"   was replaced by   "t^0".  

STEP

1  

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           dot5

Simplify   ————

            12  

Equation at the end of step

1  

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                (dot5)

 10000 • ((1 +  ——————)60)

                  12  

STEP

2  

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Rewriting the whole as an Equivalent Fraction :

2.1   Adding a fraction to a whole

Rewrite the whole as a fraction using  12  as the denominator :

         1     1 • 12

    1 =  —  =  ——————

         1       12  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

12 + dot5     dot5 + 12

—————————  =  —————————

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Equation at the end of step

2  

:

          (dot5 + 12)

 10000 • (———————————)60)

              12      

STEP

3  

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Equation at the end of step

3  

:

         (dot5 + 12)60

 10000 • —————————————

          (2120•360)  

STEP

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Dividing exponents :

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Final result :

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 ———————————————————

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