Question

Question #4e698

Answer 1

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.