Answered

Westonci.ca is the Q&A platform that connects you with experts who provide accurate and detailed answers. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

Three workers sort 66 boxes in a day. One of the workers is three times more productive than the second worker and twice as productive as the third worker. How many boxes did the second most productive worker sort?

Sagot :

Scryt
1 worker [tex]=x[/tex]

2 worker [tex]= \frac{worker1}{2}= \frac{x}{3}[/tex]

3 worker [tex]= \frac{worker1}{3}= \frac{x}{3}[/tex]

so:

[tex]66=x+ \frac{x}{3}+ \frac{x}{2} [/tex]

[tex]66=x+\frac{2x}{6}+ \frac{3x}{6} [/tex]

[tex]66*6=6x+2x+3x[/tex]

[tex]396=11x[/tex]

[tex]x=36[/tex]

so:

worker [tex]1[/tex] sorted [tex]36[/tex] boxes
worker [tex]2[/tex] sorted [tex]18[/tex] boxes
worker [tex]3[/tex] sorted [tex]12[/tex] boxes