1.

Some students planned a picnic.The budget for food was Rs.480. But , 8 of these failed to go and thus the cost of food for each member increased by Rs 10. How many students attended the picnic?

Answer» Let, no. of students who planned the picnic = x
Given, the budget for food RS.480
`because` Shaer of each student `=RS.(480)/(x)`
According to given condition
`(480)/(x-8)-(480)/(x)=10`
`implies(480x-480(x-8))/((x-8)x)=10implies(480x-480x+3840)/(x^(2)-8x)=10`
`implies10x^(2)-80x=3840impliesx^(2)-8x-384=0`
`impliesx^(2)-24x+16x-384=0impliesx(x-24)+16(x-24)=0`
`implies(x-24)(x+16)=0impliesx=24orx=-16`
Since, no. of students cannot be negative
Hence, x=24
No. of students who went for picni =x-8=24-8=16 students.


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