one more than 2/3 of a number is 7/3 write the equation
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Let the unknown number be n.
Left side “3/4 of a number” Right side “7 more than 1/6 of the number.
(3/4)n = (1/6)n +7
Goal isolate n. Multiply everything by 12 to clear the fractions
(12)(3/4)n = (12)(1/6)n + (12)7 Simplify
9n = 2n + 84 Subtract 2n on each side
7n = 84 Divide both sides by 7
n = 12
Check (3/4)12 = 9 and (1/6)12 =2 so 7 more than 1/6(12) = 9
Final stage: (5/3)12 = 20
Step-by-step explanation:
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