Question

hy 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

Given :   50/x  =  10/20   and  10/50  = 20/x  

Solution is same because

To Find : Solution is 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

Solution:

50/x  =  10/20

=> 50 * 20  = 10x

=> 1000 = 10x

=> 100 = x

10/50  =  20/x  

=> 10x = 20 * 50

=> 10x  = 1000

=> x = 100

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

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