Answer:
Steve earned $91 on Monday and $121 on Tuesday.
Step-by-step explanation:
We can create a system of equations to model this situation.
Let us establish the following variables:
We can create 2 equations from the given information:
⇒ (eq 1) [tex]M + T = 212[/tex]
⇒ (eq 2) [tex]T = M + 30[/tex]
We can solve for M by substituting the definition for T in terms of M, given by equation 2, into equation 1:
(eq 1) [tex]M + T = 212[/tex]
↓ substituting (eq 2) [tex]T = M + 30[/tex]
[tex]M + (M + 30) = 212[/tex]
↓ combining like terms
[tex]2M + 30 = 212[/tex]
↓ subtracting 30 from both sides
[tex]2M = 182[/tex]
↓ dividing both sides by 2
[tex]\boxed{M = 91}[/tex]
Now, we can plug this M-value into equation 2 to solve for T:
(eq 2) [tex]T=M+30[/tex]
↓ plugging in [tex]M=91[/tex]
[tex]T = 91 + 30[/tex]
[tex]\boxed{T = 121}[/tex]
So, Steve earned $91 on Monday and $121 on Tuesday.
