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Darina [25.2K]
3 years ago
13

LA Fitness charges a registration fee of $75 plus $35.75 per month for members. Gold's Gym charges a registration fee of $164 pl

us $17.95 for members. After how many months would the total cost at LA Fitness and Gold's Gym to be the same for members? The cost will never be the same. The cost will never be the same. 5 months 5 months 7 months 7 months 10 months \
Mathematics
1 answer:
kkurt [141]3 years ago
3 0

Answer:

After 5 months

Step-by-step explanation:

Step one:

given data

LA Fitness charges a registration fee of $75 plus $35.75 per month for members

let the number of months be x

and the total charges be y

total is

y= 75+35.75x----------1

Gold's Gym charges a registration fee of $164 plus $17.95 for members

let the number of months be x

and the total charges be y

total is

y= 164+17.95x----------2

Step two:

equate 1 and 2

75+35.75x= 164+17.95x

solve for x

35.75x-17.95x=164-75

17.8x=89

divide both sides by 17.8

x=89/17.8

x=5 months

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In the question there are numerous information's of immense importance already given. Let us write them down first
Distance traveled by bike = x km
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Now we will put the value of x in relation to y in the first equation.
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Now putting the value of y in equation given below, we get
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