You have a jar of pennies and quarters. You wan’t to chose 15 coins hat are worth exactly $4.35 . How many pennies and how many quarters will you choose?

p=pennies
q=quarters

I believe elimination would be best for this problem. I did not end up rounding any of the answers, instead I multiplied the first equation by -1 and the second equation by 100.

p(-1) + q(-1) = 15(-1) .01p(100) + .25q(100) = 4.35(100)
-p - q = -15 p + 25 = 435

-p - q = -15
p + 25 = 435

24q = 420
q = 17.5

p + (17.5) = 15
p = -2.5
i keep getting negative answers

Question

You have a jar of pennies and quarters. You wan’t to chose 15 coins hat are worth exactly $4.35 . How many pennies and how many quarters will you choose? 

p=pennies 
q=quarters

I believe elimination would be best for this problem. I did not end up rounding any of the answers, instead I multiplied the first equation by -1 and the second equation by 100. 

p(-1) + q(-1) = 15(-1)           .01p(100) + .25q(100) = 4.35(100)
-p - q = -15                           p + 25 = 435

-p - q = -15
p + 25 = 435

24q = 420
q = 17.5

p + (17.5) = 15
p = -2.5
i keep getting negative answers

jim_thompson5910 · Answer

I'm getting the same results. So it's not possible to have 15 coins that are either pennies or quarters and have the total value be $4.35