137k views
3 votes
a farmer makes a profit of x cents on each of the (x+5) eggs her hen lays. if her total profit was 84 cents find the number of eggs the hen lays

1 Answer

4 votes

Given: A farmer makes a profit of x cents on each of the (x + 5) eggs her hen lays.

To find: The number of eggs the hen lays.

Solution:

Now we have given that farmer makes a profit of x cents on each of the (x + 5) eggs her hen lays.

That means the farmer has x + 5 eggs, which also means that each egg can make a profit of x percent.

Then the equation formed will be:

x × ( x + 5 ) = 84

x^2 + 5x - 84 = 0

(x - 7) (x + 12) = 0

x = 7 , -12

The positive solution will be considered, so the answer is 7+5 = 12 eggs

Answer:

The number of eggs the hen lays is 12.

User Palejandro
by
9.1k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.