At Westonci.ca, we provide clear, reliable answers to all your questions. Join our vibrant community and get the solutions you need. Join our platform to connect with experts ready to provide detailed answers to your questions in various areas. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

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

Sagot :

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.