A box contains a total of 14 quarters and dimes. the total value of the coins is $2.15. How many dimes and quarters are in the box?

At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga.
Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus.
Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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- anonymous

- chestercat

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- anonymous

hey

- anonymous

try to convert the sentences into equations.

- anonymous

A box contains a total of 14 quarters and dimes -> q+d = 14

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- anonymous

ok

- anonymous

total value is $2.15 -> (.25)*q +(.10)*d=2.15

- anonymous

yep got that far

- anonymous

to solve a system of equations, you want to solve for one variable in terms of the other and then plug that into the equation you didn't use

- anonymous

Oh ok, but i cant figure out which one to use in this situation :(

- anonymous

??

- anonymous

well, you can do any number of things

- anonymous

you just want to get one variable by itself on one side of an equation and some stuff with the other variable on the other side

- anonymous

d = (something with q's)

- anonymous

but keep the value right?

- anonymous

you start with one of the equations

- anonymous

so...\[2.15=.10x+.25x\]?
But where do i insert the 14?

- anonymous

no. you can't just change a q into a d

- anonymous

k.

- anonymous

do you know how to manipulate an equation without really changing the meaning?

- anonymous

Yeah

- anonymous

make it look different but still true?

- anonymous

you want to do that to one of them, but you want to get either d = or q = at the end

- anonymous

k, well its getting late here and I really appreciate your help but i think ima just wing it XD
Parents say g2g to bed thanks alot though !

- anonymous

ok good luck

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