At Silver Gym, membership is $25 per month, and personal training sessions are $30 each. At Fit Factor, membership is $65 per month, and personal training sessions are $20 each. In one month, how many personal training sessions would Sarah have to buy to make the total cost at the two gyms equal?

Sarah would have to buy 4 personal training sessions to make the total cost at the two gyms equal.Step-by-step explanation:Membership fee at Silver gym = $25 per monthCost of one training session = $30 Membership fee at Fit Factor = $65 per monthCost of one training session = $20Let,x be the number of training sessions in a month, S(x) = 25 + 30x    Eqn 1 F(x) = 65 + 20x    Eqn 2The two functions will be equal when the cost will be same, therefore,S(x) = F(x)[tex]25+30x=65+20x\\30x-20x=65-25\\10x=40[/tex]Dividing both sides by 10[tex]\frac{10x}{10}=\frac{40}{10}\\x=4[/tex]Sarah would have to buy 4 personal training sessions to make the total cost at the two gyms equal.Keywords: functions, equalityLearn more about functions at:brainly.com/question/10435836brainly.com/question/10541435#LearnwithBrainly