MHB Maximizing Profit: Solving a Quadratic Equation for Mango Sales

AI Thread Summary
To determine the total number of mangoes in the crate, the vendor's cost of 55 pesos and the profit of 8 pesos must be considered. Selling the remaining mangoes at 80 cents above the cost price leads to a selling price of 0.8 pesos more than the average cost per mango. The equation $\left(\frac{55}{x}+0.8\right)(x-4)$ can be used to express the relationship between the number of mangoes, their selling price, and the profit. Solving this quadratic equation will reveal the total number of mangoes in the crate. The discussion focuses on applying algebraic methods to maximize profit through effective pricing strategies.
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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