you have 10 fewer quarters than dimes and 5 fewer nickels than quarters. the total value of the coins is 4.75. how many quarters, dimes and nickels do you have? please tell me how you set up the equations

Question

anonymous · Answer

First I would start with

0.05n + 0.10d + 0.25q = 4.75

Are you okay with this?

anonymous · Answer

sure but i need 3 equations to solve for all three variables

anonymous · Answer

From the first sentence, second equation is

10 + q = d

Can you get the third equation from the remainder of the first sentence?

anonymous · Answer

0.05[(d-10)-5] + 0.10(d) + 0.25(d-10) = 4.75

Then solve for d

anonymous · Answer

5+n=q?

anonymous · Answer

Yes!  Need further help?

anonymous · Answer

ill let you know

anonymous · Answer

i got 5 nickels, is that right?

anonymous · Answer

Let me check...

anonymous · Answer

20 dimes and 10 quarters?

anonymous · Answer

0.05(5) + 0.10(20) + 0.25(10) = 0.25 + 2 + 2.50 = 4.75

Nice job!!

anonymous · Answer

ahhh thank youu!!