Mark B. answered 10/24/18
Hello Starr,
So, let's do the problem this way: Lets first translate the 1.5 hours into minutes. As you know there are 60 minutes in an hour, and therefore, 90 minutes in an hour and a half.
Also, this can now be set up as a proportional equation, which will ensure that you have the correct answer. Just remember: the same units of measure, or objects must be on the numerator of both sides of the equation, and also on the denominator.
Given the information in the problem, and the above explanation, the following proportional equation emerges:
10 1
------ = -------
90 x
Notice Starr, that the parts made are on both numerators of either side of the equation, and time is on both denominators, okay?
Now, you can cross-multiply the proportional equation, and when you do so, you come up with the following equation:
10x = 90 <-----Now solve for x. Divide both sides by 10, okay?
x = 9 <-----It takes 9 minutes to make one part.
Now, let's check our work, fair enough?
You can check our work by doing so in one of two ways: First, you can substitute 9 for x in the proportional equation, or by taking the equation we arrived at after cross multiplying, and you will find the solution checks out.
I hope I provided you the assistance you need and encourage you to leave any feedback or further questions regarding the solution in the comment section located beneath the solution, If you need further assistance, you can reach out to me, or any tutor. Best!