Jack has 212 marbles.
Step-by-step explanation:
Jack and Watson have = 365 marbles
Jack and Asher have = 263 marbles
Let,
x be the marbles Jack have
y be the marbles Watson have
z be the marbles Asher have
According to given statement;
x+y=365 Eqn 1
x+z=263 Eqn 2
Watson has three times as many marbles is Asher.
y=3z Eqn 3
Putting y=3z in Eqn 1;
x+3z=365 Eqn 4
Subtracting Eqn 2 from Eqn 4
[tex](x+3z)-(x+z)=365-263\\x+3z-x-z=102\\2z=102[/tex]
Dividing both sides by 2
[tex]\frac{2z}{2}=\frac{102}{2}\\z=51[/tex]
Putting z=51 in Eqn 2
[tex]x+51=263\\x=263-15\\x=212[/tex]
Jack has 212 marbles.
Keywords: linear equations, subtraction
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