Algebraic Linear Equation – number of deaths per minute

Using Linear Equations

• Worldwide, the annual number of births:

1. Exceeds twice the number of deaths by 61,000.

2. The daily number of births is 150 per minute (every day, 24/7).

• What is the number of deaths per minute?

Comments for Algebraic Linear Equation – number of deaths per minute

 Aug 30, 2012 number of deaths per minute by: Staff Answer: Part I B = number of births per minute Y = number of births per year D = number of deaths per minute E = number of deaths per year • The total number of births per year can be calculated as follows:        Y = B * 24 hr/day * 60 min / hr * 365 days / yr        Y = (150 births / min) * (24 hr/day) * (60 min / hr) * (365 days / yr)        Rearrange the units so that you can easily cancel the units. This will ensure your answer is calculated as total births per year.        Y = (150 births) * 24 * 60 * 365 * (1 / yr) * (min / min) * (days /day) * (hr / hr)        Y = (150 births) * 24 * 60 * 365 * (1 / yr) * (min / min) * (days /day) * (hr / hr)        Y = (150 births) * 24 * 60 * 365 * (1 / yr) * ( min / min ) * ( days / day ) * ( hr / hr )        Y = (150 births) * 24 * 60 * 365 * (1 / yr) * (1) * (1) * (1)        Y = (150 births) * 24 * 60 * 365 * (1 / yr)        Y = 150 * 24 * 60 * 365 * (births / yr)        Y = 78840000 * (births / yr)        Y = 78,840,000 (births / yr) • The total number of deaths per year can be calculated as follows:        Y exceeds twice the number of deaths by 61,000.        Y = 2 * E + 61,000        78,840,000 = 2 * E + 61,000        Solve for E        78,840,000 = 2 * E + 61,000        78,840,000 - 61,000 = 2 * E + 61,000 - 61,000        78,840,000 - 61,000 = 2 * E + 0        78,840,000 - 61,000 = 2 * E        78,779,000 = 2 * E        78,779,000 / 2 = 2 * E / 2        78,779,000 / 2 = E * (2 / 2)        78,779,000 / 2 = E * (2 / 2) ---------------------------------------------

 Aug 30, 2012 number of deaths per minute by: Staff --------------------------------------------- Part II        78,779,000 / 2 = E * (1)        78,779,000 / 2 = E        E = 39,389,500 (deaths / yr) • The number of deaths per minute can be calculated as follows: D = E / (number of minutes in a year)        number of minutes in a year = (24 hr/day) * (60 min / hr) * (365 days / yr)        number of minutes in a year = (24 hr/ hr) * (60 min / yr ) * (365 days / day)        number of minutes in a year = 24 * 60 * 365 * (min / yr) * (days /day) * (hr / hr)        number of minutes in a year = 24 * 60 * 365 * (min / yr) * ( days / day ) * ( hr / hr )        number of minutes in a year = 24 * 60 * 365 * (min / yr) * (1) * (1)        number of minutes in a year = 24 * 60 * 365 * (min / yr)        number of minutes in a year = 525,600 (min / yr)        D = E / (number of minutes in a year)        D = 39,389,500 / 525,600 39389500 / 525600        D = 74.9419710806697 deaths per minute • Check the answer:        If Y exceeds twice the number of deaths by 61,000, than (B - 2*D) * (number of minutes in a year) must also = 61,000.        61,000 = (B - 2*D) * (number of minutes in a year)        61,000 = (150 - 2*74.9419710806697) * (525,600)        61,000 = (150 - 149.8839421613394) * (525,600)        61,000 = (0.1160578386606) * (525,600)        61,000 =61,000.000000011358, OK Thanks for writing. Staff www.solving-math-problems.com