I am helping my daughter with this proportion problem. The book says the answer is x = 112. I cannot figure how that is. Here it goes
x/168 = 66 2/3 /100
That is x over 168 is equal to 66 2/3 over 100.
well, 66 2/3 over 100 is 2/3
x/168=2/3
x=2(168)/3=112
Thank you very much.
To solve this proportion problem, you can cross-multiply and then solve for the variable, x.
First, multiply the numerator of the left side by the denominator of the right side, and the denominator of the left side by the numerator of the right side. This gives us:
x * 100 = 168 * (66 2/3)
To simplify, we need to convert the mixed fraction on the right side to an improper fraction. To do this, we multiply the whole number (66) by the denominator (3), and then add the numerator (2). This gives us:
x * 100 = 168 * (200/3)
Next, divide 200 by 3:
x * 100 = 168 * (66 2/3) = 168 * (200/3) = 33600/3
Now, simplify the fraction:
x * 100 = 11200
Finally, divide both sides of the equation by 100 to solve for x:
x = 11200/100
Now, simplify the fraction:
x = 112
Therefore, the answer to the proportion problem is x = 112.