Maths-
General
Easy
Question
Ayush is choosing between two health clubs. Health club 1: Membership R s 22 and
Monthly fee R s 24.50. Health club 2: Membership R s 47.00 , monthly fee R s 18.25
. After how many months will the total cost for each health club be the same ?
Hint:
The concept used in the question is of the quadratic equation.
The correct answer is: Hence, after 4 months the total cost of each health club will be equal.
Answer:
- Step by step explanation:
○ Given:
Health club 1: Membership R s 22 and Monthly fee R s 24.50
Health club 2: Membership R s 47.00 , monthly fee R s 18.25.
○ Step 1:
○ Let the number of months after which the total cost is equal be x.
So, for Health club 1:
After x months, total cost will be =
Membership Rs 22 + fee for x months
22 + 24.50x
Health club 2:
After x months, total cost will be =
Membership R s 47 + fee for x months
47 + 18.25x
○ Step 2:
○ Equalize both costs to get number of months
22 + 24.50x = 47 + 18.25x
24.50x - 18.25x= 47 - 22
6.25x = 25
x = ![fraction numerator 25 over denominator 6.25 end fraction](data:image/png;base64,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)
x = 4
- Final Answer:
Hence, after 4 months the total cost of each health club will be equal.
Health club 2:
After x months, total cost will be =
○ Step 2:
○ Equalize both costs to get number of months
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