SOLUTION: If each boy purchases a patty and each girl purchases a bun, they would spend a total of one cent more than if each boy purchased a bun and each girl purchased a patty. We know tha

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Question 248364: If each boy purchases a patty and each girl purchases a bun, they would spend a total of one cent more than if each boy purchased a bun and each girl purchased a patty. We know that the number of boys is greater than the number of girls. What is the difference between the number of boys and the number of girls?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = price of a bun in cents
Let y = price of a patty in cents
Let b = number of boys
Let g = number of girls
given:
b%2Ay+%2B+g%2Ax+=+b%2Ax+%2B+g%2Ay+%2B+1
subtract b%2Ax from both sides
b%2Ay+-+b%2Ax+%2B+g%2Ax+=+g%2Ay+%2B+1
Subtract g%2Ax from both sides
b%2Ay+-+b%2Ax+=+g%2Ay+-+g%2Ax+%2B+1
b%2A%28y+-+x%29+=+g%2A%28y+-+x%29+%2B+1
Divide both sides by y+-+x
b+=+g+%2B+1%2F%28y+-+x%29
b+-+g+=+1%2F%28y+-+x%29 answer