Increased 64324

The number of books in the city library increased by 0.2% in 2008 and 0.6% in 2009. At the same time, the total number of books remained less than 300,000. How many books were added to the city library in 2009?

Correct answer:

x =  1503

Step-by-step explanation:

q1​=100%+0.2%=1+1000.2​=1.002 q2​=100%+0.6%=1+1000.6​=1.006  q=q1​⋅ q2​=1.002⋅ 1.006≐1.008 k1​=n/q2​=n/1.006=1 n<300000  a ⋅  q1​ = x x ⋅  q2​ < 300000  1002 ⋅  a   = 1000 ⋅  x 1006 ⋅  x   < 1000⋅  300000  300000 = 25 × 3 × 55 501 = 1⋅ 501 503 = 1⋅ 503 500 = 22 × 53  501 ⋅  a = 500⋅ x 503 ⋅  x < 500⋅ 300000 503 ⋅  501 ⋅  a < 500 ⋅  500⋅ 300000 252003 ⋅ a < 250000 ⋅  300000 252003 ⋅ 250000 < 250000 ⋅  300000 252003<300000  a=500⋅ 500=250000 b=q1​⋅ a=1.002⋅ 250000=250500 c=q2​⋅ b=1.006⋅ 250500=252003  x=c−b=252003−250500=1503

Try another example


Did you find an error or inaccuracy? Feel free to write us. Thank you!










Tips for related online calculators
Do you want to calculate the least common multiple of two or more numbers?
Need help calculating sum, simplifying, or multiplying fractions? Try our fraction calculator.
Our percentage calculator will help you quickly calculate various typical tasks with percentages.
Do you solve Diofant problems and are looking for a calculator of Diofant integer equations?

You need to know the following knowledge to solve this word math problem:

    Units of physical quantities:

    Grade of the word problem:

    Related math problems and questions: