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?

Question

shane_b · Answer

You need to do a system of equations to solve this: $$0.25x+0.10y=$7.00$$$$x+y=46$$ Can you solve it from here?

anonymous · Answer

this is were i got stuck

shane_b · Answer

First, you need to you rearrange one of the equations so it looks like x=... or y=... The second equation is simpler so can you put it in terms of x or y?

anonymous · Answer

ok

shane_b · Answer

To nudge you along: $$x+y=46$$...what can you do to make it look like x=???  ?

anonymous · Answer

im confused sorry

shane_b · Answer

Can you rearrange x+y=46 so that x is by itself on one side of the equation?

shane_b · Answer

You need to subtract y from both sides...which will leave you with?

anonymous · Answer

10

shane_b · Answer

x+y=46...and you need to subtract y from both sides to isolate x by itself.  How in the world do you get 10?

shane_b · Answer

@Luis_Rivera: What problem is that for?  It doesn't look like it's this one!

shane_b · Answer

@niyabae: Obviously you're not getting this and I don't have a lot of time to teach you basic algebraic manipulations.  The answer is 16 quarters, 30 dimes.  Good luck!

shane_b · Answer

Just so you know how I got those values:$$.25x+.10y=$7.00$$$$x+y=46$$$$x=46-y$$$$.25(46-y)+.10y=$.700$$$$**x=16$$$$.25(16)+.10y=$7.00$$$$**y=30$$