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Ivy corporation gave 90 people a bonus. If ivy had given 8 more people bonuses, ivy would have rewarded 2/3 of the workforce. How large is Ivy's workforce?

User Rethab
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2 Answers

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they rewarded 90 folks, if they had made it 98, that'd be 2/3 of their workforce, so hmmm if say 98 is 2/3, how much is the 3/3, or the whole amount?


\bf \begin{array}{ccll} workers&\stackrel{total}{workforce}\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 98&(2)/(3)\\\\ x&(3)/(3) \end{array}\implies \cfrac{98}{x}=\cfrac{(2)/(3)}{(3)/(3)}\implies \cfrac{98}{x}=\cfrac{(2)/(3)}{1} \\\\\\ \cfrac{98}{x}=\cfrac{2}{3}\implies \cfrac{98\cdot 3}{2}=x\impliedby \textit{total amount of workers}
User Sudipta Roy
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Hey! Hope that I can help.

With the info you've given me, I know that 98 people is 2/3 of their workforce. Divide that by 2 to get 1/3, and then multiply that number by 3 to get your answer.

98 / 2 = 49 x 3 = 147
Answer: 147 people
User Samneric
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