James and Lin got married and got new jobs. Lin earns $3500 more per year than James. Together they earn $82,320. How much does each of them earn per year?
Accepted Solution
A:
Answer:James earns $39,410 a year.Lin earns $42,910 a year.Step-by-step explanation:You can answer this by setting up a system of equations.Let's say we have j, for James, and l, for Lin.Lin earns $3,500 more than James per year. Let's put that into an equation.j+3500= lAnd, together, they earn $82,320. Let's put that into an equation too.j+l= 82320We can take what we got from our first equation and plug that into the second one.j+(j+3500)= 823202j+3500= 823202j= 78820j= 39410Now we know that James earns $39,410 a year. All we have to do is add $3,500.39410+3500= 42910We'll double check by adding Lin's and James' incomes together.42910+39410=82320Therefore...James earns $39,410 a year.Lin earns $42,910 a year.