Question

tasha and li were catching bugs. tasha caught \\(\frac{1}{3}\\) as many bugs as li. together, they caught 20 bugs in all. how many bugs did li catch?\
\\(\circ\\) about 6\
\\(\circ\\) 10\
\\(\circ\\) 15\
\\(\circ\\) 17

Explanation:

Step1: Define variables

Let \( x \) be the number of bugs Li caught. Then Tasha caught \( \frac{1}{3}x \) bugs.

Step2: Set up equation

The total number of bugs is the sum of Tasha's and Li's bugs, so \( x+\frac{1}{3}x = 20 \).

Step3: Combine like terms

\( \frac{3x + x}{3}=20 \), which simplifies to \( \frac{4x}{3}=20 \).

Step4: Solve for \( x \)

Multiply both sides by \( \frac{3}{4} \): \( x = 20\times\frac{3}{4}=15 \).

Answer:

15 (corresponding to the option "15")