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

14

Explanation:

6 - 1.50 = 4.5

63 / 4.5 = 14

Answer 2

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=(63)/(4.5) \\ x=14 \end{gathered}`

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