Question

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Answer 1

9/4 or 2¼

Explanation:

• have the number be represented by x
• 2/3s OF x (of means to mulitply); 3 INCREASED BY (increased by means to add); 1/2 OF x (again, of means to multiply)
• so we can write the equation like this:
• 2/3x=3+1/2x
• now we need to get x by itself
• multiply both sides of the equation by 2/1 (the reciprocal of 1/2
• 2/3(2/1)=4/3 ; 1/2(2/1)=1
• now our equation look like 4/3x=3
• multiply both sides of the equation by 3/4 (the reciprocal of 4/3)
• 4/3(3/4)=1 ; 3(3/4)=9/4
• x = 9/4 or 2¼