Six toy cars represent 2/5collection of toy cars. How many toy cars would represent 1 2/3 collection of toy cars?

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03-11-2022
Mathematics

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Six toy cars represent 2/5collection of toy cars. How many toy cars would represent 1 2/3 collection of toy cars?

Sagot :

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AydeeP351197 AydeeP351197 · Answer 1 · 2022-11-03T21:10:01-04:00

First, let's convert the mixed number into a fraction:

[tex]1\frac{2}{3}=1+\frac{2}{3}=\frac{3}{3}+\frac{2}{3}=\frac{5}{3}[/tex]

Then, we can use the following rule of three:

[tex]\begin{gathered} 6\text{ toy cars}\to\frac{2}{5}\text{ of collection} \\ x\text{ toy cars}\to\frac{5}{3}\text{ of collection} \\ \\ \frac{6}{x}=\frac{\frac{2}{5}}{\frac{5}{3}} \\ \frac{6}{x}=\frac{2}{5}\cdot\frac{3}{5} \\ \frac{6}{x}=\frac{6}{25} \\ x=25 \end{gathered}[/tex]

Therefore the answer is 25 toy cars.

Six toy cars represent 2/5collection of toy cars. How many toy cars would represent 1 2/3 collection of toy cars?

Sagot :

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