Question

adam has dimes and quarters in his pocket. there are 28 coins in all, and they are worth $4.60 altogether. how many quarters does he have?

Answer 1

let d and q = the number of units.

d + q = 28
0.10d + 0.25q = 4.60 => the values of 0.10 and 0.25 are the values of a dime and a quarter

Answer 2

Yes.

Answer 3

you only need to find q, so we can work on that one first.

d = 28 - q [from the first equation]

plug that d in the second equation:

0.10(28 - q) + 0.25q = 4.6

the equation is now only in terms of q and you can solve.

that's it. if you want to find how many dimes, you can plug q in the first equation.

lmk if i should keep solving or if you got it :)

Answer 4

Thank you!

Answer 5

glad i could help :)