Question

A hockey team in 1996 55% match won 42% match loss and 12 match equal 3 match abonded reason of rain find this how many match this year

Answer 1

Answer:

500

Explanation:

12+3=15

let the no.ofe matches played by the team be x.

3/100*x=15

3x=1500

x=500

Answer 2

Answer:

500

Explanation:

Let number of matches = x

No. of matches equal and abandoned of rain =15

No. of matches except wins and losses=x-15

According to question:-

$\frac{55}{100} \times x + \frac{42}{100} \times x = x - 15 \\ \\ \frac{55x}{100} + \frac{42x}{100} = x - 15 \\ \\ \frac{55x + 42x}{100 } = x - 15 \\ \\ \frac{97x}{100} = x - 15 \\ \\ \frac{97x}{100} - x = - 15 \\ \\ \frac{97x - 100x}{100} = - 15 \\ \\ \frac{ - 3x}{100} = - 15 \\ \\ x = \frac{100}{ - 3} \times - 15 \\ \\ x = 100 \times 5 \\ \\ x = 500$