SOLUTION: write a pair of simultaneous equations and use them to solve: A wallet contains 34 notes, all of which are either $5 or $10 notes. the total value of the money is $285. how many

Algebra ->  Test -> SOLUTION: write a pair of simultaneous equations and use them to solve: A wallet contains 34 notes, all of which are either $5 or $10 notes. the total value of the money is $285. how many      Log On


   

Question 766099: write a pair of simultaneous equations and use them to solve:
A wallet contains 34 notes, all of which are either $5 or $10 notes. the total value of the money is $285. how many $10 notes are there?
Found 2 solutions by mananth, allen123:
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
x= Number of $10 notes
y= Number of $5 notes

1 x + 1 y = 34 .............1
Total value
10 x + 5 y = 285 .............2
Eliminate y
multiply (1)by -5
Multiply (2) by 1
-5 x -5 y = -170
10 x + 5 y = 285
Add the two equations
5 x = 115
/ 5
x = 23
plug value of x in (1)
1 x + 1 y = 34
23 + y = 34
y = 34-23
y = 11
y = 11
x= 23 Number of $10 notes
y= 11 Number of $5 notes
m.ananth@hotmail.ca

Answer by allen123(1) About Me  (Show Source):
You can put this solution on YOUR website!
x= Number of $10 notes
y= Number of $5 notes
1 x + 1 y = 34 .............1
Total value
10 x + 5 y = 285 .............2
Eliminate y
multiply (1)by -5
Multiply (2) by 1
-5 x -5 y = -170
10 x + 5 y = 285
Add the two equations
5 x = 115
/ 5
x = 23
plug value of x in (1)
1 x + 1 y = 34
23 + y = 34
y = 34-23
y = 11
y = 11
x= 23 Number of $10 notes
y= 11 Number of $5 notes