State C spent $28.3 million and State D spent $26.3 million.
Step-by-step explanation:
Total spent for tourism = $54.6 million
Let,
The amount spent by State C = x
The amount spent by State D = y
According to given statement;
x+y = 54.6 Eqn 1
x=y+2 Eqn 2
Putting value of x from Eqn 2 in Eqn 1
[tex](y+2)+y-54.6\\y+2+y=54.6\\2y=54.6-2\\2y=52.6\\[/tex]
Dividing both sides by 2
[tex]\frac{2y}{2}=\frac{52.6}{2}\\y=26.3[/tex]
Putting y=26.3 in Eqn 2
[tex]x=26.3+2\\x=28.3\\[/tex]
State C spent $28.3 million and State D spent $26.3 million.
Keywords: linear equations, substitution method
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