Question

A company analyses its profits for four consecutive years, from 2007 – 2010. The profit made in 2007 was twice that in 2009. The profit made in 2008 was R 14 million more than the profit made in 2009, while the profit made in 2010 was R 4 million less than the profit made in 2007. If the total profit made in these four years was R 58 million, determine the profit made in each year. (

Answer 1

Question #75291, Math / Algebra

A company analyses its profits for four consecutive years, from 2007 – 2010. The profit made in 2007 was twice that in 2009. The profit made in 2008 was R 14 million more than the profit made in 2009, while the profit made in 2010 was R 4 million less than the profit made in 2007. If the total profit made in these four years was R 58 million, determine the profit made in each year.

Solution:

Let the profit made in 2008 was R x million. Then the profit made in 2009 was x/2.

The profit made in 2008 was R 14 million more than the profit made in 2009, it means: $x / 2 + R$ 14 million. And the profit made in 2010 was R 4 million less than the profit made in 2007, it means: x-R 4 million. At last, the total profit made in these four years was R 58 million, it means: $x + x / 2 + R$ 14 million $+ x / 2 + x - R$ 4 million $= R$ 58 million.

$3x + R$ 10 million $= R$ 58 million;

$3x = R$ 48 million;

$x = R$ 16 million;

In this way, the profit made in 2007 was R 16 million, the profit made in 2008 was R 22 million, the profit made in 2009 was R 8 million, and the profit made in 2010 was R 12 million.

Answer:

The profit made in 2007 was R 16 million, the profit made in 2008 was R 22 million, the profit made in 2009 was R 8 million, and the profit made in 2010 was R 12 million.

Answer provided by https://www.AssignmentExpert.com