Question

Please help me come up with a system of equations! The question is: Your piggy bank has a total of 46 coins in it; some are dimes and some are quarters. If you have a total of $7.00, how many quarters and how many dimes do you have?

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I know how to solve a system, I just need help finding out what the system is for this equation

Answer 1

\[x+y=46\]
\[0.10x+0.25y=7.00\]

I believe that this is correct.

Answer 2

thank you! I will try it out now!

Answer 3

From the first equation, I subtracted x from both sides leaving me with y = 46 - x

I put that into the second equation with .10x + .25(46 - x) = 7

Answer 4

I distributed and got .10d + 11.5 - .25d = 7...but I feel like I'm doing something wrong?

Answer 5

sorry. by d i meant x

Answer 6

I did it through elimination. Perhaps if you try it that way it will work out better.

Answer 7

did you multiply the top equation by .10? for elimination

Answer 8

I multiplied the top equation by -0.10

Answer 9

Have you gotten anywhere?

Answer 10

Is 30 dimes and 16 quarters the correct answer?

Answer 11

That is what I got as a final answer!

Answer 12

great! Thanks so much for all the help! I really appreciate it!

Answer 13

No problem! If you need any more help, feel free to tag me. I love these type of problems!

Answer 14

well now that you mention it... I do have another problem...

Answer 15

Ok! Algebra is fun to me :)

Answer 16

I'm about to post it in the open questions, that way if you help again at least i will be able to give you another medal (:

Answer 17

Ok, sounds good :)