Respuesta :

To find the unit rate, aka 'cups per hour', we need to set up a proportion, then solve for x.

162/5 = x/1

Cross multiply.

162*1 = 162
5*x = 5x

5x = 162
5x/5 = 162/5
x= 162/5
x= 32.4

So our final answer is that she sells 32.4 cups per hour. 
If you mean in 1 hour, then what you have to do is compare. If she sold 162 in 5 hours, how many did she sell in 1 hour. That will be;
162=5 hours
  y = 1 hour
  I represented the unknown with y. Anyway, you have to cross and multiply. Y multiplies 5 and 162 multiplies 1. That is;
162 x 1= y x 5
  Y multiplied by 5 is 5y. So;
162=5y
  Next, you have to divide the both sides by 5, this is because 5 is attached to y, and you are trying to find y, so you have to remove all that is attached. You have to divide because the relationship between 5 and y is multiplication, the opposite of multiplication is division. So;
162/5=5y/5
  And that is;
32.4=y
y=32.4
  So in 1 hour, she makes 32.4 cups, approximately 32 cups. Hope this helped, have a wonderful day.
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