College

Jack can long-jump 195% of his height with a running start. If Jack can long-jump 97.5 inches, how tall is he?

Answer :

This can be expressed as :

195% of Jack's height ( x) is esual to 97.5

→ 195/100 *x = 97.5

x (height ) = 97.5 /1.95

= 50 feet

• This means that Jack's height is 50 feet tall,.

{Extra notes: This is true because 195% of 50 = 195*50/100 = 97 .5}

To find Jack's height, we set up the equation 97.5 inches = 1.95 x Height, since 195% is equivalent to 1.95 as a decimal. Solving this equation, Jack's height is determined to be 50 inches.

Jack can long jump 195% of his height. If he can long jump 97.5 inches, we can determine his height by setting up a proportion. Since 195% is equal to 1.95 in decimal form (because 100% is equal to 1), we can express Jack's jumping ability as:

Jumping distance = 1.95 imes Height

Substituting the given jumping distance:

97.5 inches = 1.95 * Height

To find his height, divide both sides of the equation by 1.95:

Height = {97.5}/{1.95}

Height = 50 inches

Therefore, Jack is 50 inches tall.