Question

5 to 2 = __ to 4 and also 14 to 21 = __ to 15

Answer 1

1) Set up proportions for the ratios:


`(5)/(2) = (x)/(4)`

Cross multiply the fractions:


`2x = 20`

Divide both sides by 2 to get x by itself.


`x = 10`

5 to 2 is equal to 10 to 4.
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2) Set up proportions for the ratios:


`(14)/(21) = (x)/(15)`

Cross multiply the fractions:


`21x = 210`

Divide both sides by 21 to get x by itself:


`x = 10`

14 to 21 is equal to 10 to 15.
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OPTIONAL:
To make 2) easier to solve, simplify 14 to 21.


`(14)/(21) / (7)/(7) = (2)/(3)`

Then, continue with the problem as described above:


`(2)/(3) = (x)/(15)`


`3x = 30`


`x = 10`