Question

Un comerciante de algodón de azúcar gana 40 cm por cada algodón vendido pero si no lo logra venderlo pierde 50 céntimos. un día en que fabricó 120 algodones obtuvo una ganancia de 39 soles ¿Cuántos algodones no logró vender ese día?

Answer 1

He fails to sell that day 10 cottons.

Explanation:

We are given that a cotton candy merchant earns 40 cents for each cotton sold, but if he cannot sell it he loses 50 cents.

One day when he made 120 cottons, he made a profit of 39 soles.

Let the number of cottons merchant is able to sold be 'x' and the number of cottons merchant is not able to sold be 'y'.

So, according to the question;

• The first condition states that he made 120 cottons on one day, that is;

x + y = 120

x = 120 - y ---------------------- [Equation 1]

• The second condition states that merchant earns 40 cents for each cotton sold, but if he cannot sell it he loses 50 cents and due to which he made a profit of 30 soles, that is;

`0.40x - 0.50y=39`

`40x - 50y=3900`

`40(120-y) - 50y=3900`

`4800-40y - 50y=3900`

`90y=4800-3900`

`90 y = 900`

`y=(900)/(90)=10`

This means that the merchant is not able to sell 10 cottons.