Answer to Question #253726 in Algebra for freebandz

Question

1) 1050 dollar is shared between A,B,C so that B receives 50% more than A, and C receives 25% more than B. How much does each receive?

2) A tank whose base is 2.25m square contains 9000 litres of water. Find the depth of the water.

Answer 1

1) Let  A receives $x$ dollar, then  B receives $1.5x$ dollar, and  C receives $(1.5x)(1.25)$ dollar. Then

$$x+1.5x+(1.5x)(1.25)=1050$$

$$4.375x=1050$$

$$x=240$$

$$1.5x=360$$

$$(1.5x)(1.25)=450$$

A receives $240$ dollar, then  B receives $360$ dollar, and  C receives $450$ dollar.

2. Let $h=$ the depth of the water.

$$Base=2.25\ m^2$$

$$Volume=9000\ L=9\ m^3$$

$$Volume=Base(height)$$

$$height=h=\dfrac{Volume}{Base}=\dfrac{9\ m^3}{2.25\ m^2}=4\ m$$

The depth of the water is 4 m.