SOLUTION: there are 24 coins made up of quarters and dimes which amount to 3.90$. how many of each kind of coins are there. let x represent...let y represent

Algebra ->  Equations -> SOLUTION: there are 24 coins made up of quarters and dimes which amount to 3.90$. how many of each kind of coins are there. let x represent...let y represent      Log On


   



Question 410277: there are 24 coins made up of quarters and dimes which amount to 3.90$. how many of each kind of coins are there. let x represent...let y represent
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
(1) d+%2B+q+=+24
(2) 10d+%2B+25q+=+390 (in cents)
multiply both sides of (1) by 10 and
subtract (1) from (2)
(2) 10d+%2B+25q+=+390
(1) -10d+-+10q+=+-240
15q+=+150
q+=+10
and, since
(1) d+%2B+q+=+24
d+=+24+-+10
d+=+14
There are 14 dimes and 10 quarters