Diana is comparing the membership costs at two fitness centers. The community fitness center costs $60 per month. The fitness center located where she works has a $100 registration fee and costs $40 per month. After how many months of membership will the costs be the same?

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The linear equation is made using the constraints given in the question, examining whether the data is added, subtracted, divided, or multiplied.

How to solve a linear equation?

To solve the linear equation we group the variable on the LHS and then equate it with the constant and this is done by transposing, or using an arithmetic operator on both sides.

The solution to the given problem

Let the number of months taken be 'x'

SO the community fitness takes 60x money for x months

The fitness center where she works takes an amount of 100+40x for x months as registration fees are only charged once.

so equating the equation to find the value of x.

100+40x = 60x

Transposing 40x from LHS to RHS

100=60x-40x

20x = 100

Dividing the equation by 20 on both sides

x = 5

The membership costs will equal in 5 months.

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Diana is comparing the membership costs at two fitness centers. The community fitness center costs $60 per month. The fitness center located where she works has a $100 registration fee and costs $40 per month. After how many months of membership will the costs be the same? 2 3 4 5

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How to make a linear equation?

How to solve a linear equation?

The solution to the given problem

Otras preguntas

Diana is comparing the membership costs at two fitness centers. The community fitness center costs $60 per month. The fitness center located where she works has a $100 registration fee and costs $40 per month. After how many months of membership will the costs be the same?

2
3
4
5