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Please help thank you!

Please help thank you!-example-1
User Thebiglife
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1 Answer

29 votes
29 votes

Answer:

  • golf: $10
  • batting: $2.50

Explanation:

We can write two equations in the two unknowns using the given relations. Let g and b represent the costs of a round of golf and a turn in the batting cage, respectively.

5g +4b = 60 . . . . . Sylvester's expense

3g +6b = 45 . . . . . Lin's expense

Dividing the second equation by 3 gives ...

g +2b = 15 ⇒ 2b = 15 -g

Substituting into the first equation, we have ...

5g +2(2b) = 60

5g +2(15 -g) = 60 . . . . . substitute for 2b

3g = 30 . . . . . . . . . subtract 30, collect terms

g = 10 . . . . . . . divide by 3

__

2b = 15 -10 = 5 . . . . use the value of g to find b

b = 2.5 . . . . . . . . divide by 2

Mini golf costs $10 per round; batting cages cost $2.50 per turn.

User VSP
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