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Mars2501 [29]
3 years ago
5

Tony owns a car lot. He orders cars and motorcycles at a ratio 5:2. Find an equivalent ratio if Tony ordered 25 cars. Then find

an equivalent ratio if Tony ordered 12 motorcycles. (You should have two ratios for your answer)
Mathematics
1 answer:
Romashka-Z-Leto [24]3 years ago
8 0

Answer:

10 motorcycles and 30 cars

Step-by-step explanation:

If there are 25 cars and a 5:2 ratio, then 25/5=5, and 5x2=10, then there will be 10 motorcycles.

                   5:2

   Divide by 5 | Multiply by 2

If there are 12 motorcycles, then 12/2=6 and 6x5=30. The ratio is reversed because the translation required is reversed.

                     2:5

   Divide by 2 | Multiply by 5

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How to reduce into simpler terms.?
Sveta_85 [38]

Answer:

The simplest form of the fraction \frac{45}{100}  is  \frac{9}{20}.

i.e.

\frac{45}{100}=\frac{9}{20}

Step-by-step explanation:

Here are some simple observations regarding how to reduce a fraction into simpler terms:

  • A fraction is reduced to lowest or simplest terms by finding an equivalent fraction in which the numerator and denominator are as small as possible.
  • In order to reduce a fraction to lowest or simplest terms, divide the numerator and denominator by their (GCF). Note that (GCF) is also called Greatest Common Factor .

So, lets take a sample fraction and reduce into simpler terms.

Considering the fraction

\frac{45}{100}

\mathrm{Find\:a\:common\:factor\:of\:}45\mathrm{\:and\:}100\mathrm{\:in\:order\:to\:cancel\:it\:out}

\mathrm{Greatest\:Common\:Divisor\:of\:}45,\:100:\quad 5

\mathrm{Factor\:out\:}5\mathrm{\:from\:the\:numerator\:and\:the\:denominator}

45=5\cdot \:9\mathrm{,\:\quad }100=5\cdot \:20

so

\frac{45}{100}=\frac{5\cdot \:\:9}{5\cdot \:\:20}

\mathrm{Cancel\:the\:common\:factor:}\:5

     =\frac{9}{20}

Therefore, the simplest form of the fraction \frac{45}{100}  is  \frac{9}{20}.

i.e.

\frac{45}{100}=\frac{9}{20}

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