Answered

At Westonci.ca, we provide reliable answers to your questions from a community of experts. Start exploring today! Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

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