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
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Answer: Second Option
[tex]\frac{x}{3x-4} = \frac{20}{80}[/tex]
Step-by-step explanation:
The baseball team is composed of bats and balls.
Call x the number of bats and call z the number of balls.
Then we know that:
The number of baseballs is four less than three times the number of bats.
This is:
[tex]z = 3x-4[/tex] (I)
Then we know that the team is 80% baseballs
This is:
[tex]\frac{x}{z} = \frac{0.2}{0.8}[/tex] (II)
We substitute the first equation in the second and we have:
[tex]\frac{x}{3x-4} = \frac{0.2}{0.8}\\\\\frac{x}{3x-4} = \frac{20}{80}[/tex]