Question

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. x over quantity 2x plus 3 equals 40 over 60 x over quantity 2x plus 3 equals 60 over 40 x over quantity 2x plus 3 equals 40 over 100 x over quantity 2x plus 3 equals 60 over 100

Answer 1

Answer:

x over quantity 2x plus 3 equals 40 over 60

Step-by-step explanation:

Let light clothes=x

Number of dark clothes = 2x + 3,

Dark clothes are 60% of total clothes

Light clothes=100%-60%

=40%

Light clothes / dark clothes = percentage of light clothes / percentage of dark clothes

x / 2x+3 = 40 / 60

x over quantity 2x plus 3 equals 40 over 60

Answer 2

    Expression for this situation will be $\frac{x}{2x+3}=\frac{60}{40}$.

Let the number of dark cloths = y

And the number of light cloths = x

"The number of dark cloths is three more than twice the number of light cloths".

Therefore, equation will be,

y = 2x + 3 ----- (1)

"The laundry is 60% dark cloths"

Equation for this statement will be,

y = $\frac{60}{100}(x+y)$

y = 0.6x + 0.6y

y - 0.6y = 0.6x

0.4y = 0.6x

$\frac{y}{60}=\frac{x}{40}$

Now substitute the value of y from equation (1),

$\frac{2x+3}{40}=\frac{x}{60}$

$\frac{2x+3}{x}=\frac{40}{60}$

$\frac{x}{2x+3}=\frac{60}{40}$

  Therefore, expression for this situation will be $\frac{x}{2x+3}=\frac{60}{40}$.

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