Question

the sporting equipment has been sorted into baseballs and bats. the number of baseballs is four less than three times the number of bats. the equipment is 80% baseballs. choose the equation that best represents this scenario.$\frac{x}{3x - 4}=\frac{80}{20}$$\frac{x}{3x - 4}=\frac{20}{80}$$\frac{x}{3x - 4}=\frac{80}{100}$$\frac{x}{3x - 4}=\frac{20}{100}$

Explanation:

Step1: Define variable for bats

Let $x$ = number of bats.

Step2: Express number of baseballs

Baseballs = $3x - 4$

Step3: Calculate total equipment

Total = $x + (3x - 4) = 4x - 4$

Step4: Set up percentage equation

80% of total is baseballs:
$$\frac{3x - 4}{4x - 4} = \frac{80}{100}$$
Simplify $\frac{80}{100}$ to $\frac{4}{5}$, then cross-multiply and simplify to match options:
$$\frac{3x - 4}{x} = \frac{80}{20}$$

Answer:

$\boldsymbol{\frac{3x - 4}{x} = \frac{80}{20}}$ (first option)