Elise B.

asked • 09/28/14

Discrete "Working Backwards" math problem

The family (Mama, Papa, and the three kids, Ed, Lisa, and Judy) were about to go on a camping vacation. They decided to take their five dogs with them, and they needed to know how many cans of dog food to take. The cans of the sample brand of dog food were $1.24 and the packaging said that three cans of dog food would feed two dogs for one day. The family was planning on going camping for eight days. How much would the dog food cost them for the eight days?

1 Expert Answer

By:

Matt H. answered • 09/28/14

Tutor
5.0 (335)

PATIENT :-) Elem/Middle MATH and WRITING; HS SAT and COLLEGE ESSAYS!

Elise B.

Would it be 8 to 40? And the answer would be about $69?
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09/28/14

Matt H.

nope, the missing number is going to be more than 40. if 3 cans takes care of 2 "feeds," it's going to take a LOT of cans to take care of 40 feeds...
 
think of 3/2 as a fraction--if you change the denominator to 40, think about how you got there--you multiplied the 2 by 20. 
 
Now, whatever you did to the denom, you have to do the same thing to the numerator--so multiply the 3 by 20 also.
 
So your number of cans is 3 x 20, which is... :-)
 
Now multiply that number by $1.24 for the total cost.
 
Better?
 
Hope this is in time for class! :-)
 
M
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09/29/14

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