Kylie has been measuring the growth of her pet boa constrictor Toby. Her data tells her that Toby has grown 1/3 longer than he was last year. If L represents Toby's length last year, what is his length this year?

Answer 1

To find Toby's length this year, we need to determine how much he has grown in comparison to his length last year, represented by \( L \).

Toby has grown \( \frac{1}{3} \) longer than his length last year. This means his growth can be expressed as:

\[ \text{Growth} = \frac{1}{3} L \]

To find his length this year, we add this growth to his length last year:

\[ \text{Length this year} = L + \text{Growth} = L + \frac{1}{3} L \]

We can combine these two terms:

\[ \text{Length this year} = L + \frac{1}{3} L = \frac{3}{3} L + \frac{1}{3} L = \frac{4}{3} L \]

Thus, Toby's length this year is

\[ \frac{4}{3} L \]