Question #4e698

1 Answer
Jul 10, 2017

No. of eggs=13.

Explanation:

No. of eggs=x.
Price of each egg=(x-8) cents
Total Price of All Eggs=x(x-8)=x^2-8x cents --------(1)

No. of bread rolls=x-2
Price of each bread roll=(x-3) cents
Total price of All bread rolls=(x-2)(x-3)=x^2-3x-2x+6
=x^2-5x+6 cents--------(2)

Hence total price =$1.75 =175 cents
=> x^2-8x+x^2-5x+6 =175 ------------ [using eq(1) and eq(2)]
=> 2x^2-13x+6=175
=> 2x^2-13x+6-175=0
=> 2x^2-13x-169=0

Therefore, x=(13+-sqrt(169+1352))/4=(13+-39)/4
x=(13-39)/4, x=(13+39)/4
x=-26/4=-13/2 , x=52/4=13

Since the number of Objects cannot be negative, therefore x= 13.
Hence No. of eggs=13.