Question

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?

Answer 1

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?

$\bf \begin{array}{ccll} workers&\stackrel{total}{workforce}\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 98&\frac{2}{3}\\\\ x&\frac{3}{3} \end{array}\implies \cfrac{98}{x}=\cfrac{\frac{2}{3}}{\frac{3}{3}}\implies \cfrac{98}{x}=\cfrac{\frac{2}{3}}{1} \\\\\\ \cfrac{98}{x}=\cfrac{2}{3}\implies \cfrac{98\cdot 3}{2}=x\impliedby \textit{total amount of workers}$

Answer 2

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