SOLUTION: Ben and Jerry's ice cream sells two flavors: vanilla and chocolate. On a friday, the ratio of vanilla cones sold to chocolate cones was 2:3. If the store had sold 4 more vanilla co

Algebra ->  Rate-of-work-word-problems -> SOLUTION: Ben and Jerry's ice cream sells two flavors: vanilla and chocolate. On a friday, the ratio of vanilla cones sold to chocolate cones was 2:3. If the store had sold 4 more vanilla co      Log On


   

Question 877167: Ben and Jerry's ice cream sells two flavors: vanilla and chocolate. On a friday, the ratio of vanilla cones sold to chocolate cones was 2:3. If the store had sold 4 more vanilla cones, the ratio of vanilla cones sold to chocolate sold would have been 3:4. How many vanilla cones did the store sell on friday
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
The original ratio of 2:3 means x/y = 2/3

Add 4 to vanilla to get the ratio of 3:4, so, (x+4)/y = 3/4


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x/y = 2/3

x = (2/3)*y

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(x+4)/y = 3/4

4(x+4) = 3y

4x+16 = 3y

4(2/3)y+16 = 3y

(8/3)y+16 = 3y

16 = 3y - (8/3)y

16 = (9/3)y - (8/3)y

16 = [(9/3) - (8/3)]y

16 = [(9-8)/3]y

16 = (1/3)y

16*3 = y

48 = y

y = 48

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x = (2/3)*y

x = (2/3)*48

x = 96/3

x = 32

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They sold 32 vanilla cones.