Maximizing Profit: Solving a Quadratic Equation for Mango Sales

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SUMMARY

The discussion focuses on solving a quadratic equation related to maximizing profit from mango sales. The vendor purchased a crate of mangoes for 55 pesos, but 4 were unsellable. By selling the remaining mangoes at a price 80 cents above the cost price, he achieves a total profit of 8 pesos. The equation derived from the problem is $\left(\frac{55}{x}+0.8\right)(x-4)$, where 'x' represents the total number of mangoes in the crate.

PREREQUISITES
  • Understanding of basic algebra and quadratic equations
  • Familiarity with profit and loss calculations
  • Knowledge of variables and functions in mathematical expressions
  • Ability to manipulate equations to isolate variables
NEXT STEPS
  • Study how to solve quadratic equations using the quadratic formula
  • Learn about profit margin calculations in retail
  • Explore algebraic manipulation techniques for isolating variables
  • Investigate real-world applications of quadratic equations in business scenarios
USEFUL FOR

This discussion is beneficial for students studying algebra, small business owners analyzing profit margins, and anyone interested in applying mathematical concepts to real-world sales scenarios.

paulmdrdo1
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Please help me continue this problem

A market vendor bought a crate of mangoes for 55 peso. when the crate was opened he found that 4 pieces were not fit to be sold. If he sells the rest at 80 cents more than the buying price, he gets a profit of 8 peso for these remaining mangoes. How many mangoes were in the crate?

The only thing I know is

$\left(\frac{55}{x}+0.8\right)(x-4)=??$

I'm stuck! :(
 
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If his cost is 55 pesos, and his profit is 8 pesos, what is the total selling price in all?
 

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