Question

Company F makes $6 for each bracelet they sell, but it costs them $8,000 dollars to pay their employees to make the bracelets. Company J also makes bracelets. They make $4 for each bracelet they sell. It only costs them $6,000 to pay their employees to make the bracelets. Determine which equation could be used to determine n, the number of bracelets each company will have to make in order to profit equally.

a) 6n-8,000=4n-6,000
b) 6n-8,000=4n+6,000
c) 4n-6,000=6n+8,000
d) 4n+6,000=6n-8,000

Answer 1

The equation to determine the number of bracelets each company would need to make to profit equally is 6n − 8,000 = 4n − 6,000, which corresponds to option b) in the question.

Step-by-step explanation:

To determine which equation could be used to find n, the number of bracelets each company will have to make in order to profit equally, we consider the profit each company makes per bracelet and the initial costs. Company F makes $6 per bracelet and has $8,000 in initial costs. Company J makes $4 per bracelet and has $6,000 in initial costs. The profit is calculated as (profit per bracelet × number of bracelets − initial costs). So, for Company F, their profit would be (6n − 8,000), and for Company J, their profit would be (4n − 6,000). To find the number of bracelets n for which both companies would have equal profits we set these two expressions equal to each other. The correct equation is therefore b) 6n − 8,000 = 4n − 6,000.