Question

Each Grammy has a square base 6 inches wide That's 3 inches more that 1/3 of the trophy's height. Write an equation to find a Grammys height using the variable h and solve

Answer 1

The equation representing the Grammy's height is
`(1)/(3)h+3=6`.

The height of the Grammy is 9 inches.

Explanation:

Given:

Base of the square = 6 inches

We need to write and solve the equation to find a Grammy's height

Solution:

Let the Grammy's height be represented by 'h'.

Now given:

Base of the square That's 3 inches more that 1/3 of the trophy's height.

So the equation can be framed as;

`(1)/(3)h+3=6`

Hence The equation representing the Grammy's height is
`(1)/(3)h+3=6`.

On Solving the above equation we get;

Subtracting both side by 3 we get;

`\frac13h+3-3=6-3\\\\\frac13h=3`

Multiplying both side by 3 we get;

`\frac13h*3 =3*3\\\\h=9\ in`

Hence The height of the Grammy is 9 inches.