Question

The states C and D spend a total of ​$54.6 million for tourism. The state C spends ​$2 million more than the state D. Find the amount that each state spends on tourism.

Answer 1

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

$(y+2)+y-54.6\\y+2+y=54.6\\2y=54.6-2\\2y=52.6$

Dividing both sides by 2

$\frac{2y}{2}=\frac{52.6}{2}\\y=26.3$

Putting y=26.3 in Eqn 2

$x=26.3+2\\x=28.3$

State C spent $28.3 million and State D spent $26.3 million.

Keywords: linear equations, substitution method

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