Can anyone please solve this problem with solution?
A farmer grows strawberries. They cost him $0.8 a basket to grow. He is able to sell only 85 percent of those he grows. If he sells his strawberries at $2.40 per basket, how many baskets must he grow to make a profit of $2480?
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The farmer requires $0.8 to grow a basket of strawberries. He is able to sell them for $2.4. Of the baskets of strawberries he grows 85% are sold. Let the number of baskets of strawberries he needs to grow to make a profit of $2480 be x.
We get 0.85*2.4*x - 0.8*x = 2480
=> x(2.4*0.85 - 0.8) = 2480
=> x = 2480/1.24
=> x = 2000
The farmer needs to grow 2000 baskets of strawberries.
Assuming that you are talking about basket of strawberries (I don't think a single strawberry would cost 2.40, but if so the equation is the same).
Consider x as being the number of basket of strawberries produced. He sells only 85%, so he will sell 0.85*x. Also, he sells each basket for 2.40. Finally, the costs of production are 0.80 cents a basket, so we must do 0.80*x as the total costs.
The equation will be:
(0.85*2.40)*x - 0.80*x = 2480
2.04*x - 0.80*x = 2480 :: subtracting
1.24*x = 2480 :: dividing the second part by 1.24
x = 2000
So the answer is 2000 baskets.
Hope that helps =)
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