Multiple choice

The total population of boys and girls in a town showed a 35% rise from 2000 to 2010. During this span, the number of boys increased by 50%, while the girls saw a 30% growth. Moving on to the period between 2010 and 2020, the girl population experienced another notable 35% increase. If in the year 2020, the girl population was five times that of the boys, what was the percentage growth in the overall population of boys and girls in the town from 2000 to 2020?

  1. 88

  2. 68

  3. 58

  4. 38

  5. a
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let B and G be the initial populations. 1.35(B+G) = 1.5B + 1.3G => 1.35B + 1.35G = 1.5B + 1.3G => 0.05G = 0.15B => G = 3B. In 2010, B_2010 = 1.5B, G_2010 = 1.3G = 3.9B. In 2020, G_2020 = 1.35 * 3.9B = 5.265B. Given G_2020 = 5 * B_2020, then B_2020 = 1.053B. Total 2020 = 6.318B. Total 2000 = 4B. Growth = (6.318-4)/4 = 2.318/4 = 0.5795, or approx 58%.

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