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The Outdoors Club members are planning some activities to do on a sunny autumn Saturday. One half of the members are going hiking. One fourth of the members are bike riding. One eighth of the members are rock climbing. Nine of the members are walking their dogs. How many Outdoor Club members are doing an activity on Saturday?

Respuesta :

72 members
1/8 is 9 members
9 x 8 = 72

Answer:

72

Step-by-step explanation:

Lets say total number of Outdoor club member = [tex]x[/tex]

Members going for hiking = [tex]\frac{x}{2}[/tex]

Members going for bike riding = [tex]\frac{x}{4}[/tex]

Members going for rock climbing = [tex]\frac{x}{8}[/tex]

Member going for walking their dogs = 9

Thus,

[tex]x=\frac{x}{2}+\frac{x}{4}+\frac{x}{8}+9[/tex]

[tex]x-\frac{x}{2}-\frac{x}{4}-\frac{x}{8} = 9[/tex]

[tex]\frac{8x-4x-2x-x}{8}=9[/tex]

[tex]\frac{x}{8}=9[/tex]

[tex]x=72[/tex]

72 Outdoor Club members are doing an activity on Saturday.

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