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The laundry has been sorted into dark clothes and light clothes. The number of dark clothes is three more than twice the number of light clothes. The laundry is 60% dark clothes. Choose the equation that best represents this scenario.

Respuesta :

calculista

Answer:

We can represent this question as a system of equations

Let

x = number of dark clothes

y = number of light clothes

L = total number of clothes

The number of dark clothes is three more than twice the number of light clothes

x = 2*(y) + 3

The laundry is 60% dark clothes.

x  = 0.6*(L)

Cricetus

Answer:

x=3+2y and 2x=3y

Step-by-step explanation:

Let the number of dark clothes be x

and that of light clothes be y

It is given in the condition that

x= 3 more than twice of y

x=3+2y ------------------------------ ( I )

Also it is given that 60% clothes are dark

Hence

[tex]\frac{dark}{total clothes}=\frac{60}{100}[/tex]

[tex]\frac{x}{x+y}=\frac{3}{5}[/tex]

doing cross multiplication

[tex]5 \times x = 3 \times (x+y)[/tex]

[tex]5x=3x+3y[/tex]

2x=3y ----------------------------------- (II)

Hence equation (I) and (II) represent the two conditions given in the problem.

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