Question

PLEASE HELP ASAP 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.
Mini golf costs $
per round and batting cages cost $
each turn

Answer 1

mini golf cost $2.50

Batting cages cost $10.00

Explanation:

Let m = the cost of the mini golf

Let b = the cost of the batting cages

5n + 4b = 60

3m + 6b = 45 I can take this and divide all the way through by 3 to work with smaller equivalent numbers

m + 2b = 15 Take this multiply all the way through by -5 and add to

5m - 4b =60

-5m - 10b = -75

5m + 4b = 60

-6b = -15 Divide both sides by -6

b = 2.50

Substitute 2.5 for b into either of the 2 equations

m + 2b = 15

m + 2(2.50) = 15

m + 5 = 15 Subtract 5 from both sides

m = 10.00

Check

5m + 4b = 60

5(10) + 4(2.50) = 60

50 + 10 = 60

60 = 60

3m + 6b = 45

3(10) + 6(2.50) = 45

30 + 15 = 45