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Yesterday, Brainy Games sold robots and chess sets in the ratio 3:5. The store sold 21 robots. How many toys were sold in all?

Answer :

[tex]\begin{gathered} \frac{robots}{\text{chess sets}}\colon\frac{3}{5}=\frac{21}{x} \\ \end{gathered}[/tex]

solve for x

[tex]\begin{gathered} 3x=21\times5 \\ 3x=105 \\ \frac{3x}{3}=\frac{105}{3} \\ x=35 \end{gathered}[/tex]

the store sold 35 chess sets

and answer is: 21 robots + 35 chess sets = 56 toys sold by the store