SOLUTION: Mr.Frankel bought 7 tickets to a puppet show and spent $46. He bought a combination of child tickets for $2 each and adult tickets for $10 each. Which system of equations below wil

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Mr.Frankel bought 7 tickets to a puppet show and spent $46. He bought a combination of child tickets for $2 each and adult tickets for $10 each. Which system of equations below wil      Log On


   

Question 582188: Mr.Frankel bought 7 tickets to a puppet show and spent $46. He bought a combination of child tickets for $2 each and adult tickets for $10 each. Which system of equations below will determine the number of adult tickets,"a", and the number of child tickets,"c", he bought? Show Work
A.) a + c = 322
a + c = 7
B.) a = c - 10
10a + 2c = 46
C.) 10a + 2c = 46
a + c = 7
D.) 2a + 2c = 53
a + c = 7
Answer by dfrazzetto(283) About Me  (Show Source):
You can put this solution on YOUR website!
C.) 10a + 2c = 46
a + c = 7
a + c = 7 (total tickets must be 7)
10a + 2c = 46 (cost equation)
Solved by pluggable solver: Linear System solver (using determinant)
Solve:
+system%28+%0D%0A++++1%5Ca+%2B+1%5Cc+=+7%2C%0D%0A++++10%5Ca+%2B+2%5Cc+=+46+%29%0D%0A++

Any system of equations:


has solution

or



(a=4, c=3}


4 adult tickets, ($40) and 3 child tickets ($6)