Answer:
Sarah has $18, and Lance has $42.
Explanation:
We know that Sarah and Lance together have $60, so we can write the equation:
S + L = 60
We also know that Lance has six more than twice as much as Sarah, which can be expressed as:
L = 2S + 6
Now, we have a system of two equations:
S + L = 60
L = 2S + 6
We can use substitution or elimination to solve this system. Let's use substitution:
From equation 2, we can express L in terms of S:
L = 2S + 6
Now, substitute this expression for L into equation 1:
S + (2S + 6) = 60
Combine like terms:
3S + 6 = 60
Subtract 6 from both sides:
3S = 60 - 6
3S = 54
Now, divide by 3:
S = 54 / 3
S = 18
So, Sarah has $18.
Now, we can find Lance's amount using equation 2:
L = 2S + 6
L = 2(18) + 6
L = 36 + 6
L = 42
Lance has $42.