SOLUTION: I paid $35.00 to buy fruit, an apple was $2.50 and a peach was $3.50, How many of each did I buy? what would the formula be? Thank you

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Question 970395: I paid $35.00 to buy fruit, an apple was $2.50 and a peach was $3.50, How many of each did I buy? what would the formula be?
Thank you
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
a, how many of apples
p, how many of peaches

You have only enough information to account for the cost.
2.5a%2B3.5p=35

You expect only whole number solutions for (a,p), so you are able to find several or the few possible solutions for the equation. The equation is p=-%285%2F7%29a%2B10 in slope-intercept form.

graph%28400%2C400%2C-1%2C15%2C-1%2C15%2C-%285%2F7%29x%2B10%29

Reading points from the graph may be a little difficult but you can check through picking and computing a to p. Two very obvious possibilities are a=0, a=7, and a=14. These correspond to (0,10), (7,5), (14,0). Those are the ONLY acceptable solutions.