8. 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.
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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.
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