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

Answer:

The equation representing the Grammy's height is  $\frac{1}{3}h+3=6$.

The height of the Grammy is 9 inches.

Step-by-step 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;

$\frac{1}{3}h+3=6$

Hence The equation representing the Grammy's height is $\frac{1}{3}h+3=6$.

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;

$\frac13h\times3 =3\times3\\\\h=9\ in$

Hence The height of the Grammy is 9 inches.