In 7th grade the subject of Math is 170 hours. The total time is divided between Algebra and Geometry in the ratio 3:2. How many hours are there for Geometry?

Respuesta :

There are 68 hours of Geometry and there are 102 hours for Algebra.

Answer:

There are 68 hours for geometry.

Step-by-step explanation:

In 7th grade the subject of Math is 170 hours.

The total time is divided between Algebra and Geometry in the ratio 3:2.

Let the number of hours for geometry be = x

Then there are 170 - x hours of Algebra.

Relation forms:

[tex]\frac{3}{2} =\frac{170-x}{x}[/tex]

Now solving for x;

[tex]2(170-x)=3x[/tex]

[tex]=> 340-2x=3x[/tex]

[tex]=> 340=3x+2x[/tex]

[tex]=> 340=5x[/tex]

Dividing both sides by 5,

x = 68

[tex]170-68=102[/tex] for algebra

Hence, there are 68 hours for geometry and 102 hours for algebra.