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.

Answer 1

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)

Answer 2

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

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

`(dark)/(total clothes)=(60)/(100)`

`(x)/(x+y)=(3)/(5)`

doing cross multiplication

`5 * x = 3 * (x+y)`

`5x=3x+3y`

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

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