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 = 
x = 4
- Final Answer:
Hence, after 4 months the total cost of each health club will be equal.
Membership Rs 22 + fee for x months 22 + 24.50xHealth 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 + 18.25x24.50x - 18.25x= 47 - 226.25x = 25x = x = 4Related Questions to study
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