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.

Health club 2:

After x months, total cost will be =

○ 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

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