Lizeth L.
asked 01/20/20Tyler bake 702 cookies he sold them in boxes of 18 after selling all of the boxes of cookies for the same amount each he earned $136.50 what was the cost of one box of cookies
4 Answers By Expert Tutors

William W. answered 01/20/20
Math and science made easy - learn from a retired engineer
If he had baked 18 cookies and 18 fit in a box, then how many boxes would he have? Obviously 1. How about if he baked 36 cookies and 18 fit in a box, how many boxes of cookies would that be? 2, right? So, to figure out how many boxes you get, you take the number of cookies and divide by 18 (because 18 go in 1 box).
So 702/18 = 39 boxes.
Since he earned $136.50 for selling 39 boxes of cookies, each box would have sold for $136.50 divided by 39.
So, $136.50/39 = $3.50
Each box of cookies was sold for $3.50
Jesse D. answered 01/20/20
Patient and Experienced Mathematics and Spanish Tutor
Hi there! I'd love to help you out with this...
First off, we need to figure out how many boxes he had altogether. To do this, we will divide the total number of cookies by the number of cookies in each box:
702 / 18 = 39 boxes
So in all he sold 39 boxes. Now to find the unit price, we divide the total amount earned by the number of boxes sold:
136.50 / 39 = $3.50
So, each box sold for $3.50. I hope this explanation was thorough and answered all of your questions. Please don't hesitate to reach out if you have additional questions. Learn on! :)

Mark M. answered 01/20/20
Mathematics Teacher - NCLB Highly Qualified
702 cookies / 18 cookies per box = 39 boxes
$136.50 / 39 boxes = $3.50

David W. answered 01/20/20
Experienced Prof
This problem asks you to find the unit value of a box of cookies. It gives the sale price as $136.50 per 18 boxes. Also, you need to do dimensional analysis using the multiplicative identity (that is, 1) because any value does not change when multiplied by 1 (but the dimensions may change).
Here:
1 = (18 cookies) / (1 box) = (1 box) / (18 cookies) [note: use the one that cancels units]
$136.50 / (702 cookies)
($136.50 / (702 cookies) ) * ((18 cookies) / (1 box)) [note: cookies cancels leaving $ per box ]
(136.50 / 702 ) * 18 dollars per box
$3.50 / box

Barbara K.
Your explanation confuses, and it misstates the problem (18 cookies per box, not 18 boxes). It’s a simple arithmetic problem that doesn’t need a big formula.01/21/20

David W.
The principles (unit cost; dimensional analysis; multiplicative identity) are important and usually overlooked. Also, I wrote that 18 cookies is 1 box as well as 1 box is 18 cookies. Did you misread the explanation? [note: With more complicated problems, this approach becomes quite superior.)01/21/20
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Kacey Y.
Hey Lizeth So, Tyler had 702 cookies. However, we know that he had to group them into groups of 18 for each box. Therefore you are going to divide 702 cookies by 18 702/18=39 The 39 is representing how many boxes of cookies Tyler got after grouping the cookies into groups of 18. Now we were told that Tyler made $136.50 after he sold each box of cookies, and they were all sold for the same price. To find out how many he sold each box of cookies for, we will have to divide $136.50 (what he made), by 39 (the amount of boxes he had) $136.50/39 boxes= $3.50 (each box) Tyler sold each box at 3.5001/20/20