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.
IT'S NOT THE LAST ONE

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 x be the number of light cloths,

According to the question,

Number of dark cloths = 2x + 3,

∵ Dark cloths are 60% of total cloths,

if there are only two types of cloths ( dark and light ),

Then the percentage of light cloths = 100% - 40% = 60%,

Now,

$\frac{\text{Light cloths}}{\text{Dark cloths}}=\frac{\text{Percentage of light cloths}}{\text{Percentage of dark cloths}}$

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

Hence, FIRST option is correct.