SOLUTION: If Tyler has 23 lottery tickets that are worth a total of $175. If each ticket is worth either $5 or $10 dollars how many of each does he have?

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Question 1045616: If Tyler has 23 lottery tickets that are worth a total of $175. If each ticket is worth either $5 or $10 dollars how many of each does he have?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
Very typical two-variable, two-equation, linear systems application problem.

Assign variables to how many of each kind of ticket.
Account for the number of tickets.
Account for the total value worth.
Solve the system.

If one of the equations is x%2B2y=35, do you know how, and can you form the other equation of the system and solve?

Answer by MathTherapy(10557) About Me  (Show Source):
You can put this solution on YOUR website!

If Tyler has 23 lottery tickets that are worth a total of $175. If each ticket is worth either $5 or $10 dollars how many of each does he have?
Let number of $5 tickets he has, be F

Then number of $10 tickets he has, is: 23 - F 

We then get: 5F + 10(23 - F) = 175

Solve for F, the number of $5 tickets

Subtract value of F from 23 to get number of $10 tickets.

It is that SIMPLE...nothing COMPLEX!