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Between 2000 and​ 2010, the percentage of households with cordless phones increased by 13.7​% to 82​%. What percentage of households had cordless phones in​ 2000?
About _____% of households had cordless phones in 2000.

NOTE: Simply subtracting 13.7-82 is INCORRECT and has been marked incorrect.

Question Help: To find what percentage of households had cordless phones in​ 2000, translate the​ "increased by" statement to an​ "of" statement. Let A be the percentage of households in 2000 and B be the percentage of households in 2010. What is the proper​ "of" statement?

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laurellee27

Answer:

72%

72.12% to 2 d.p.

Step-by-step explanation:

Between 2000 and​ 2010, the percentage of households with cordless phones increased by 13.7​% to 82​%.

In 2010, A people had cordless phones.

In 2000, B people had cordless phones.

B = A * 113.7% = 82

B = A * 1.137 = 82

Rearrange the formula to find A:

A = B / 1.137 = 72.12 to 2 d.p

In 2010, 72.12% people had cordless phones.

In 2000, 82% people had cordless phones.

Depending on the accuracy the question asks for, change the answer accordingly.

72.12 * 1.137 = 82.00044

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