Question

a 2 digit number can be written in the form 10x+y.if the digits are reserved, the new number is 10y+x.to solve coin problems, you can write one equation for the value of the coins.

a collection of dimes and quarters iss worth $25. there are 40 more domes than quarters how many of each are there?


x: dimes
y: quarters
0.1x+0.25y=25
and
y+40=x

(ive tried doing this but i have feeling that i am doing it wrong so please someone help me and explain it to me and show steps?)

Answer 1

\[0.1(y+40)+0.25y=25\]
should be enough to help you through this one.

Answer 2

okay thanks

Answer 3

wait i dont get it?

Answer 4

okay, so
\[0.1y+4+0.25y=25\]
\[0.35y+4=25\]
\[0.35y=21\]
\[y=\frac{21}{0.35}=60\]

Answer 5

medals don't hurt, ye know...