Question

Why are the solutions to the proportions StartFraction 50 over x EndFraction = StartFraction 10 over 20 EndFraction and StartFraction 10 over 50 EndFraction = StartFraction 20 over x EndFraction the same? because both result in the equation 20 x = 500, which simplifies to x = 25 because both result in the equation 20 x = 500, which simplifies to x = 250 because both result in the equation 10 x = 1,000, which simplifies to x = 10 because both result in the equation 10 x = 1,000, which simplifies to x = 100

Answer 1

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Explanation:

Answer 2

because both result in the equation 10 x = 1,000, which simplifies to x = 100

Explanation:

50 / x = 10/20

Cross product

50 * 20 = x * 10

1000 = 10x

x = 1000 / 10

= 100

10/50 = 20/x

Cross product

10 * x = 50 * 20

10x = 1000

x = 1000/10

= 100

The answer is :

because both result in the equation 10 x = 1,000, which simplifies to x = 100