Your piggy bank has a total of 46 coins in it;some are quarters. If you have a total of $7.00, how many quarters and how many dimes do you have?

Question

anonymous · Answer

Are there only quarters and dimes in the piggy bank? I'm going to assume this.

Let x=the amount of dimes. We then know that 46-x=the amount of quarters. We know that 25 times the amount of quarters plus 10 times the amount of dimes is equal to 700 cents:
$$25(46-x) + 10x=700$$ Distribute and simplify:
$$1150-25x+10x=700$$
$$1150-15x=700$$
$$-15x=-450$$
$$x=30 dimes$$

anonymous · Answer

thanks man

anonymous · Answer

what about the quarters

anonymous · Answer

The amount of quarters is just 46-30=16