Question

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?

Answer 1

hey

Answer 2

try to convert the sentences into equations.

Answer 3

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

Answer 4

ok

Answer 5

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

Answer 6

yep got that far

Answer 7

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

Answer 8

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

Answer 9

??

Answer 10

well, you can do any number of things

Answer 11

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

Answer 12

d = (something with q's)

Answer 13

but keep the value right?

Answer 14

you start with one of the equations

Answer 15

so...\[2.15=.10x+.25x\]?

But where do i insert the 14?

Answer 16

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

Answer 17

k.

Answer 18

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

Answer 19

Yeah

Answer 20

make it look different but still true?

Answer 21

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

Answer 22

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 !

Answer 23

ok good luck