Question

Some students planned a picnic. The budget for food was 500. But 5 of them failed to go and thus
the cost of food for each member increased by 5. How many students attended the picnic?
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Answer 1

Answer:

20

Step-by-step explanation:

LET X STUDENTS PLANNED TO GO FOR THE PICNIC

BUDGET PER PERSON WAS - 500/X

ACTUALLY ONLY X-5 WENT. BUDGET PER STUDENT HENCE BECAME 500/X-5.

500/X-5 = 500/X +5

500= (X-5)(500/X +5)

500 = X-5)(500/X) + 5X-25

525=( 500X-2500)/X +5X

525X= 500X-2500+5X^2

5X^2-25X-2500=0

X^2-5X-500=0

X^2 -25X+20X -500=0

X(X-25)+ 20(X-25) =0

X=25 OR X -20

X=25

SO 25 STUDENTS PLANNED TO ATTEND THE PICNIC BUT ONLY 20 ATTENDED.

Answer 2

Answer:

20

Step-by-step explanation:

LET X STUDENTS PLANNED TO GO FOR THE PICNIC

BUDGET PER PERSON WAS - 500/X

ACTUALLY ONLY X-5 WENT. BUDGET PER STUDENT HENCE BECAME 500/X-5.

500/X-5 = 500/X +5

500= (X-5)(500/X +5)

500 = X-5)(500/X) + 5X-25

525=( 500X-2500)/X +5X

525X= 500X-2500+5X^2

5X^2-25X-2500=0

X^2-5X-500=0

X^2 -25X+20X -500=0

X(X-25)+ 20(X-25) =0

X=25 OR X -20

X=25

SO 25 STUDENTS PLANNED TO ATTEND THE PICNIC BUT ONLY 20 ATTENDED.