Question

PLEASE HELP 40 POINTS

Sylvester and Lin go to the amusement park. Sylvester plays 5 rounds of mini golf and takes 4 turns in the batting cages for $60. Lin plays 3 rounds of mini golf and takes 6 turns in the batting cages for $45. Use two equations to find the price for each activity. Enter your answers in the boxes.

Answer 1

I think this is what you write:

5g + 4b = $60

3g + 6b = $45

Hope this helps!

Explanation:

Answer 2

minigolf = 10

batting cage 2.50

Explanation:

Let g= rounds of golf

Let b = batting cage

Sylvester

5g+4b = 60

Lin

3g +6b = 45

We have two equations and two unknowns

5g+4b = 60

3g +6b = 45

Divide the second equation by 3

3/3g +6/3b = 45/3

g+2b = 15

Multiply this equation by -2

-2g -4b = -30

Add this to the first equation

5g+4b = 60

-2g -4b = -30

----------------------

3g = 30

Divide by 3

3g/3 = 30/3

g = 10

A game of mingolf is 10 dollars

Now we need to find b

g+2b = 15

10 +2b =15

Subtract 10

10-10+2b =15-10

2b =5

Divide by 2

2b/2 =5/2

b = 2.5

A turn in the batting cage is 2.50