Question

For the choir concert, the choir director has asked that everyone wear either black pants or blue jeans. Three times as many students wore black pants as blue jeans. If there are forty-four students in the choir, how many wore blue jeans?A.44B.33C.22D.11

Answer 1

Answer:

Let the number of people that wore black pants be

$=x$

Let the number of people who wore blue pants be

$=y$

The total number of students in the choirs is

$=44$

Three times as many students wore black pants as blue jeans can be represented below as

$x=3y\ldots\text{.}(1)$

The total number of students will be represented below as

$x+y=44\ldots\ldots(2)$

Substitute the equation (1) in equation (2)

$\begin{gathered} x+y=44\ldots\ldots(2) \\ x=3y\ldots\text{.}(1) \\ 3y+y=44 \\ 4y=44 \\ \text{divide both sides by 4} \\ \frac{4y}{4}=\frac{44}{4} \\ y=11 \end{gathered}$

Hence,

The number of students who wore blue pants is =11

The right answer is OPTION D