## Related questions with answers

Question

One health club charges a $50 sign-up fee and$65 per month. Another club charges a $90 sign-up fee and$45 per month. For what number of months is the cost of the clubs equal?

Solution

VerifiedStep 1

1 of 2$50 + 65x = 90 + 45x\\50 + 65x - 45x = 90 + 45x - 45x\\50 + 20x = 90\\50 + 20x - 50 = 90 - 50\\20x = 40\\20x \div20 = 40 \div 20 \\x = 2$

You have to compare the total cost of a monthly health club membership. Let x equal the number of months. Let the left side of the equation represent club 1s cost and the right side represent club 2s cost. At 2 months the costs are equal.

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