A grocer orders apples and oranges at a total cost of $8.39. If apples cost him $0.25 and oranges cost him $0.18 each, how many of each type of fruit did he order?

Question

anonymous · Answer

you are trying to solve 
$$25x+18y=839$$
there are infinitely many solutions, but your solution needs to be positive integers

anonymous · Answer

can you give me a solution for this problem?

anonymous · Answer

sure try 17 apples and 23 oranges and see if it works

anonymous · Answer

$$17\times 25+23\times 18=839$$ i believe

anonymous · Answer

I have one more problem. A piggy bank contains 24 coins, all of which are nickels, dimes, or quarters. If the total value of the coins is two dollars, what combinations of coins are possible?

anonymous · Answer

and thank you that works.

anonymous · Answer

no idea, but i guess you can guess and check for this one
where did  you get such an annoying problem?

anonymous · Answer

my honors algebra 2 teacher lol.

anonymous · Answer

well, i suppose you are supposed to solve for $y$ and $z$ in terms of $x$ 
then find a value of $x$ that makes all three positive

anonymous · Answer

there may even be more than one solution because i think the equations are
 $y=-4x+16$ and
$z=3x+8$

anonymous · Answer

with $x,y,z$ as quarters, dimes and nickels respectively
lets try it with $x=1$ then $y=12$ and $z=11$ 
one quarter, 12 dimes, 11 nickels may work

anonymous · Answer

$$25+120+55=200$$ how about that?