SOLUTION: Jackie makes a batch of cookies using a 5 : 2 ratio of chocolate chips to candies. If each cookie has an average of six candies, how many chocolate chips must Jackie add to the dou

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Jackie makes a batch of cookies using a 5 : 2 ratio of chocolate chips to candies. If each cookie has an average of six candies, how many chocolate chips must Jackie add to the dou      Log On


   

Question 7368: Jackie makes a batch of cookies using a 5 : 2 ratio of chocolate chips to candies. If each cookie has an average of six candies, how many chocolate chips must Jackie add to the dough to make a dozen cookies?
a) 72
b) 180
c) 360
d) 60
Answer by ichudov(507) About Me  (Show Source):
You can put this solution on YOUR website!
I have not eaten cookies for 2 years after I lost 50 lbs.
If there are six candies in a cookie, then there are 6*12 candies in 12 cookies, or 72 candies.
chips%2Fcandies+=+5%2F2. Since we know that candies = 72,
chips%2F72+=+5%2F2, multiply both sides by 72
chips+=+72%2A5%2F2
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • This is an equation! Solutions: chips=180.
  • Graphical form: Equation chips=72%2A5%2F2 was fully solved.
  • Text form: chips=72*5/2 simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+chips=72%2A5%2F2+%29
    For tutors: simplify_cartoon( chips=72*5/2 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at chips=highlight_red%28+72+%29%2A5%2Fhighlight_red%28+2+%29.
Factors 72 and 2 have greatest common factor (GCF) of 2. Reducing fraction.
It becomes chips=highlight_green%28+36+%29%2A5%2Fhighlight_green%28+1+%29.
Look at chips=highlight_red%28+36+%29%2Ahighlight_red%28+5+%29%2F1.
Multiplied numerator integers
It becomes chips=highlight_green%28+180+%29%2F1.
Look at chips=180%2Fhighlight_red%28+1+%29.
Remove extraneous '1' from product highlight_red%28+1%2F1+%29
It becomes chips=180.
Look at chips=highlight_red%28+180+%29.
Moved these terms to the left highlight_green%28+-180+%29
It becomes chips-highlight_green%28+180+%29=0.
Look at highlight_red%28+chips-180+%29=0.
Solved linear equation highlight_red%28+chips-180=0+%29 equivalent to chips-180 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: chips=180.

Universal Simplifier and Solver


Done!