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Zepler [3.9K]
3 years ago
8

A music store is offering a Frequent Buyers Club membership. The membership costs $22 per year, and then a member can buy CDs at

a reduced price. If a member buys 17 CDs in one year, the cost is $111.25. Determine the cost of each CD for a member.
Mathematics
1 answer:
sammy [17]3 years ago
6 0

Answer:the cost of each CD for a member is $5.25

Step-by-step explanation:

The membership costs $22 per year, and then a member can buy CDs at a reduced price.

Let x represent the cost of each CD for a member.

Let n represent the number of CDs that each member buys. This means that the total cost of buying n CDs for a member for a year would be

22 + nx

If a member buys 17 CDs in one year, the cost is $111.25. This means that

17x + 22 = 111.25

17x = 111.25 - 22 = 89.25

x = 89.25/175 = 5.25

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amm1812

Answer:

{x = -3 , y = 10

Step-by-step explanation:

Solve the following system:

{y = 9 - x/3 | (equation 1)

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Express the system in standard form:

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{-(2 x)/3 + y = 12 | (equation 2)

Swap equation 1 with equation 2:

{-(2 x)/3 + y = 12 | (equation 1)

{x/3 + y = 9 | (equation 2)

Add 1/2 × (equation 1) to equation 2:

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Multiply equation 1 by 3:

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Multiply equation 2 by 2/3:

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{0 x+y = 10 | (equation 2)

Subtract 3 × (equation 2) from equation 1:

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Collect results:

Answer:  {x = -3 , y = 10

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