Answer to Question #163086 in Algebra for lillian

Question

Alice likes to go to Main Event to play laser tag and climb the rock wall each Saturday.  Instead of purchasing the play pass, Alice pays for each activity separately. 

 

• This week Alice played laser tag twice and climbed the rock wall 3 times, spending $31.
• Last week Alice played laser tag 4 times and climbed the rock wall once, spending $27.

 

Using the information provided, how much does Main Event charge, in dollars, to climb the rock wall?

Answer 1

Let the price per lacer tag be $x$

Let the price for climbing rock wall be $y$

We have $2x +3y=31$

$4x+y=27$

Solving these linear equations in two variables we have, $x=5 \space and \space y=7$

Hence the Main event charges 7 dollars for climbing rock wall.