DanielSeven2207
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To different companies offer online gaming subscriptions. Company A charges $75 upfront and then $20 per month. Company B does not charge an upfront fee, but charges $35 per month. After how many months will the two companies charge the same amount?

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cedarwood79
Hello! To solve this equation, let's set it up like this: 75 + 20m = 35m. This is because Company B does not charge an upfront fee, so all you have to do is 35m and Company A charges $75 upfront and then $20 per month, so you do 75 + 20m. First, you subtract 20m from both sides. When you do, you get 75 = 15m. Now, you divide each side by 15 to isolate the m. When you do that, you get 5. Let's plug in the numbers to see what we get. 20 * 5 is 100 + 75 = 175. 35 * 5 =175. 175 = 175. There. The two companies will charge the same amount in 5 months. m = 5.

The number of months when the two companies charge the same amount is 5 months.

Let the number of months when the two companies charge the same amount be represented by x.

Therefore, based on the information given, the equation to solve the question will be:

75 + (20 × x) = 35 × x

75 + 20x= 35x

Collect like terms

35x - 20x = 75

15x = 75

Divide both side by 15

15x/15 = 75/15

x = 5

Therefore, the number of months when the two companies charge the same amount is 5 months.

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