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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)   (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.
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