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Rosanna sold 1/4 of his eggs on saturday and 1/6 of the remainder on sunday.if he had 140 eggs left, how many eggs did he have at first?

2
by ajnirah

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by ajnirah

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number of eggs sold on saturday=x/4

total eggs-eggs sold=eggs remained

x-x/4=3x/4

eggs remained on saturday=3x/4

eggs sold on sunday=1/6(3x/4)=x/8

total number of sold eggs = x/8+x/4 =3x/8

eggs remained=x-3x/8=5x/8=140

5x=1120

x=224

NUMBER OF EGGS IN THE BEGINNING ARE 224

Let number of eggs = x

Eggs sold on Saturday =x/4

Therefore , Remaining eggs = total eggs - eggs sold

= x - x/4

=4x -x /4

=3x/4

Eggs sold on Sunday = 1/6 of Remaining eggs on saturday

= 1/6*3x/4

=3x/6*4

=x/8

Hence The total number of eggs sold = x/4 +x/8

=x(1/4+1/8)

=3x/8

We know that ,

Total number of eggs - total eggs sold = remaining eggs

x -3x/8 =140

8x - 3x = 8*140

x=1120/5

x=224

Hope this helps you!!

Thank YOu!!

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