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dirk sold 7 more than 2 times as many gym memberships this month than last month. the month he sold 43 memberships. how many memberships did he sell last month?

User Ives
by
4.8k points

2 Answers

5 votes

Final answer:

To find the number of gym memberships sold last month, we set up an equation based on the given information, 2x + 7 = 43. Solving for x, we find that Dirk sold 18 gym memberships last month.

Step-by-step explanation:

Let's denote the number of gym memberships Dirk sold last month as x. According to the problem statement, Dirk sold '7 more than 2 times as many gym memberships this month than last month.' This can be represented mathematically as 2x + 7. The problem also tells us that the number of gym memberships sold this month is 43. Therefore, we can set up the following equation to solve for x:

2x + 7 = 43

To find the value of x, we need to perform two steps: subtract 7 from both sides of the equation, and then divide by 2. Here's how it works:

  1. Subtract 7 from both sides: 2x = 43 - 7
  2. Simplify: 2x = 36
  3. Divide both sides by 2: x = 18

So, Dirk sold 18 gym memberships last month.

User Andrew Ring
by
4.9k points
3 votes

Answer:

Step-by-step explanation:

x = last month

y = this month

y = 2x + 7

y = 43

43 = 2x + 7

43 - 7 = 2x

36 = 2x

36/2 = x

18 = x <== he sold 18 gym memberships last month

User Evans Belloeil
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4.7k points