one health club charges a $50 sing- 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
Two months.
$50 + $65 + $65 = $180
$90 + $45 +$45 = $180
You just have to keep adding on the fees for each month until the prices meet
Answer: For 2 months is the cost of the clubs equal.
Step-by-step explanation:
Let the month be 'x'.
In case of one health clubs:
Amount for sign up fee = $50
Amount per month = $65
So, the equation becomes,
\(50+65x\)
In case of another clubs:
Amount for sign up fee = $90
Amount per month = $45
So, the equation becomes
\(90+45x\)
According to question, we get that
\(50+65x=90+45x\\\\65x-45x=90-50\\\\20x=40\\\\x=\dfrac{40}{20}\\\\x=2\)
Hence, for 2 months is the cost of the clubs equal.