Question

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?

Answer 1

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

Answer 2

There are 68 hours for geometry.

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:

`(3)/(2) =(170-x)/(x)`

Now solving for x;

`2(170-x)=3x`

`=> 340-2x=3x`

`=> 340=3x+2x`

`=> 340=5x`

Dividing both sides by 5,

x = 68

`170-68=102` for algebra

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