Question

Emma sells lanyards for $6 each. her expenses are $1.50 per lanyard, plus $63 for materials. how many lanyards must she sell for her revenue to equal her expenses?

Answer 1

We have the following equality

$6x=1.5x+63$

where x is the number of lanyards, solving for x

$\begin{gathered} 6x-1.5x=63 \\ 4.5x=63 \\ x=\frac{63}{4.5} \\ x=14 \end{gathered}$

Therefore you must sell at least 14 cords to have equal revenue and expenses