SOLUTION: Martha has 56 coins, they are all dimes and quarters, they total $8.00, how many dimes and quarters make up the $8.00, solve using linear equation

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Martha has 56 coins, they are all dimes and quarters, they total $8.00, how many dimes and quarters make up the $8.00, solve using linear equation      Log On


   

Question 125405: Martha has 56 coins, they are all dimes and quarters, they total $8.00,
how many dimes and quarters make up the $8.00, solve using linear equation
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let d = number of dimes
Let q = number of quarters
d+%2B+q+=+56
10d+%2B+25q+=+800
d+=+56+-+q
10%2856+-+q%29+%2B+25q+=+800
560+-+10q+%2B+25q+=+800
15q+=+800+-+560
15q+=+240
q+=+16
d+=+56+-+q
d+=+56+-+16
d+=+40
There are 16 quarters and 40 dimes
check answer
10d+%2B+25q+=+800
10%2A40+%2B+25%2A16+=+800
400+%2B+400%2B+800
800+=+800
OK