Math  /  Algebra

QuestionSet up an appropriate equation and solve. Data are accurate to two significant digits.
Approximately 5.7 million wrecked cars are recycled in two consecutive years. There were 300,000 more recycled the second year than the first year. How many cars are recycled each year?
Let xx be the number of cars, in millions, recycled in the first year. Write an equation for the total number of cars recycled. \square (Type an equation. Do not solve. Use integers or decimals for any numbers in the equation.)

Studdy Solution

STEP 1

1. Let x x be the number of cars, in millions, recycled in the first year.
2. The number of cars recycled in the second year is x+0.3 x + 0.3 million.
3. The total number of cars recycled in two consecutive years is 5.7 million.

STEP 2

1. Define the variable for the number of cars recycled in the first year.
2. Express the number of cars recycled in the second year in terms of the variable from step 1.
3. Write an equation representing the total number of cars recycled over the two years.
4. Combine the expressions and solve for the variable.
5. Verify the solution by substituting back into the context of the problem.

STEP 3

Let x x be the number of cars, in millions, recycled in the first year.

STEP 4

Express the number of cars recycled in the second year: x+0.3 x + 0.3

STEP 5

Write the equation for the total number of cars recycled over the two years: x+(x+0.3)=5.7 x + (x + 0.3) = 5.7
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