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lara [203]
3 years ago
15

The ratio of girls to boys in Liza’s classroom is 5 to 4. How many girls are in her classroom if there is a total of 27 students

Mathematics
2 answers:
tigry1 [53]3 years ago
4 0
27/5 and 27/4 so the ratio is 13 boys 14 girls
andrezito [222]3 years ago
3 0

Answer:

15\ girls

Step-by-step explanation:

Let

x-----> the number of girls

y-----> the number of boys

we know that

x+y=27 -----> equation A

\frac{x}{y}=\frac{5}{4}

isolate the variable y

y=\frac{4}{5}x -----> equation B

Substitute equation B in equation A

x+\frac{4}{5}x=27

\frac{9}{5}x=27

x=5*27/9=15\ girls

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\bold{\huge{\purple{\underline{ Solutions }}}}

<h3><u>Solution </u><u>(</u><u>a)</u><u> </u><u>:</u><u>-</u></h3>

\bold{\dfrac{ 7}{6}}{\bold{ + }}{\bold{\dfrac{ 2}{5}}}

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\sf{ = \:}{\sf{\dfrac{ 35 +  12 }{30}}}

\sf{ =\: }{\sf{\red{\dfrac{ 47 }{30}}}}

Hence, The answer is 47/30

<h3><u>Solution </u><u>(</u><u> </u><u>b</u><u>) </u><u> </u><u>:</u><u>-</u></h3>

\bold{\dfrac{ 1}{7}}{\bold{ + }}{\bold{\dfrac{ 1}{8}}}

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\sf{ =\: }{\sf{\dfrac{ 8 + 7 }{56}}}

\sf{ =\: }{\sf{\red{\dfrac{ 15}{56}}}}

Hence, The answer is 15/56

<h3><u>Solution </u><u>(</u><u> </u><u>c</u><u>) </u><u> </u><u>:</u><u>-</u></h3>

\bold{\dfrac{ 7}{13}}{\bold{ + }}{\bold{\dfrac{ 5}{10}}}

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\sf{ = \:}{\sf{\dfrac{ 135}{130}}}

\sf{ =\:}{\sf{\red{\dfrac{ 27}{26}}}}

Hence, The answer is 27/26

<h3><u>Solution </u><u>(</u><u> </u><u>d</u><u>) </u><u> </u><u>:</u><u>-</u></h3>

\bold{\dfrac{ 7}{5}}{\bold{ - }}{\bold{\dfrac{ 1}{3}}}

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<h3><u>Solution </u><u>(</u><u> </u><u>e) </u><u>:</u><u>-</u></h3>

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<h3><u>Solution </u><u>(</u><u> </u><u>f</u><u>) </u><u>:</u><u>-</u></h3>

\bold{\dfrac{ 11}{4}}{\bold{ - }}{\bold{\dfrac{ 1}{9}}}

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