A student traded four pieces of chocolate pour seven pieces of hard candy at this rate how many pieces of chocolate could be treated for 35 pieces of hard candy

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Answer: 20 pieces of chocolate could be treated for 35 pieces of hard candy.

Step-by-step explanation:

Equation of direct proportion between two quantities x and y :

[tex]\dfrac{x_1}{y_1}=\dfrac{x_2}{y_2}[/tex]

Put [tex]x_1=4,\ y_1=7,\ y_2=35, x_2=x[/tex]

[tex]\dfrac{4}{7}=\dfrac{x}{35}\\\\\Rightarrow\ x=\dfrac{35\times4}{7}\\\\\Rightarrow\ x=20[/tex]

Hence, 20 pieces of chocolate could be treated for 35 pieces of hard candy.