Seiji and Gavin both worked hard over the summer. Together, they earned a total of $425. Gavin earned $25 more than Seiji. much did each of them earn?
A. Write a system of two equations to model this program.
I got 1 equation down, i just cant figure out the second
wear da speedos
To model the given scenario, we can create a system of two equations.
Let's assign variables to represent the earnings of Seiji and Gavin. We'll use 'S' for Seiji's earnings and 'G' for Gavin's earnings.
Equation 1: Seiji and Gavin together earned a total of $425.
This can be expressed as: S + G = 425
Equation 2: Gavin earned $25 more than Seiji.
This can be expressed as: G = S + 25
Now we have a system of two equations:
Equation 1: S + G = 425
Equation 2: G = S + 25
These two equations can help us determine the individual earnings of Seiji and Gavin by solving the system.
You know two things:
g+s = 425
g = s+25
S+g=425
g=s+25
subsisute
s+s+25=425
2s+25=425
subtract 25
2s=400
divide 2
s=200
subsisute
g=200+25
g=225
seiji=200
gavin=225