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Sagot :
Answer:
99 marbles
Step-by-step explanation:
Let number of marbles with Alex be [tex]x[/tex]
Leanne has 1/2 as many marbles as Alex.
So,
Number of marbles with Leanne = [tex]\frac{x}{2}[/tex]
Number of marbles with Joachim = [tex]\frac{2}{3}(\frac{x}{2})=\frac{x}{3}[/tex]
Also, Alex has 36 more marbles than Joachim.
So,
Number of marbles with Alex = 36 + Number of marbles with Joachim
= [tex]36+\frac{x}{3}[/tex]
So,
[tex]x=36+\frac{x}{3}\\\\x-\frac{x}{3}=36\\\\\frac{2x}{3}=36\\\\\x=36(\frac{3}{2})\\\\x=54[/tex]
So,
Number of marbles with Alex = 54
Number of marbles with Leanne = [tex]\frac{x}{2}=\frac{54}{2}=27[/tex]
Number of marbles with Joachim = [tex]\frac{x}{3}=\frac{54}{3}=18[/tex]
Total number of marbles = [tex]54+27+18=99[/tex]
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