Let the unknown number of plantains be x.
It is given that one plantain costs $0.49. It is required to find the number of plantains that can be bought at $7.84.
Since one plantain can be bought for $0.49, it follows that x plantains will be bought for:
[tex]\$0.49\times x=\$0.49x[/tex]Equate this expression to the given price:
[tex]0.49x=7.84[/tex]Solve the equation for x:
[tex]\begin{gathered} 0.49x=7.84 \\ \text{Divide both sides by 0.49:} \\ \Rightarrow\frac{0.49x}{0.49}=\frac{7.84}{0.49} \\ \Rightarrow x=16 \end{gathered}[/tex]Hence, the required number of plantains that can be bought for $7.84 is 16.
The correct answer is 16 plantains.
