define the variables, write a system if equations corresponding to the problem, and solve the problem. 2. A group of four golfer

Question

3 years ago

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define the variables, write a system if equations corresponding to the problem, and solve the problem. 2. A group of four golfer

s pays $150 to play a round of golf. Of these four, one is a member of the club and three are nonmembers. Another group of golfers consists of two members and one nonmember and pays a total of $75. What is the cost for a member to play a round of golf, and what is the cost for a nonmember?

Mathematics

1 answer:

aleksandr82 [10.1K] · Answer 1 · 2022-03-12T03:42:32+03:00

Answer: Cost of member = $15 and Cost of non member = $45

Step-by-step explanation:

a) Define variables.

Let x be the cost of member.

Let y be the cost of non member.

b) Write a system of equations:

According to question, we get that

x+3y=$150--------------(1)

2x+y=$75---------------(2)

Now, we need to calculate the cost for a member and a non member.

Using graphing method, we get that (15,45) is the solution set.

Hence, cost of member = $15 and Cost of non member = $45