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Alex collected 3 times as many seashells as Clay. When Alex gave Clay some of his seashells, they each had 14. How many seashells had Alex given to Clay?

 May 21, 2021

Best Answer 

 #1
avatar+26393 
+2

Alex collected 3 times as many seashells as Clay.
When Alex gave Clay some of his seashells, they each had 14.
How many seashells had Alex given to Clay?

 

\(\begin{array}{|lrcll|} \hline (1) & A &=& 3C \\ (2) & A-x &=& 14 \\ (3) & C+x &=& 14 \\ \hline (2)+(3) : & A+C &=& 28 \\ & 3C +C &=& 28 \\ & 4C &=& 28 \\ & \mathbf{C} &=& \mathbf{7} \\ \hline & A &=& 3C \\ & A &=& 3*7 \\ & \mathbf{A} &=& \mathbf{21} \\ \hline & C+x &=& 14 \\ & 7+x &=& 14 \\ & \mathbf{x} &=& \mathbf{7} \\ \hline \end{array}\)

 

7 seashells had Alex given to Clay

 

laugh

 May 21, 2021
 #1
avatar+26393 
+2
Best Answer

Alex collected 3 times as many seashells as Clay.
When Alex gave Clay some of his seashells, they each had 14.
How many seashells had Alex given to Clay?

 

\(\begin{array}{|lrcll|} \hline (1) & A &=& 3C \\ (2) & A-x &=& 14 \\ (3) & C+x &=& 14 \\ \hline (2)+(3) : & A+C &=& 28 \\ & 3C +C &=& 28 \\ & 4C &=& 28 \\ & \mathbf{C} &=& \mathbf{7} \\ \hline & A &=& 3C \\ & A &=& 3*7 \\ & \mathbf{A} &=& \mathbf{21} \\ \hline & C+x &=& 14 \\ & 7+x &=& 14 \\ & \mathbf{x} &=& \mathbf{7} \\ \hline \end{array}\)

 

7 seashells had Alex given to Clay

 

laugh

heureka May 21, 2021

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