Jones assembles 200 relays in the same time that Smith assembles 180. When Jones has completed 300 relays, how many will Smith have turned out?

270

Step-by-step explanation:

Jones turns out 200 relays to Smith's 180. You set up that basic ratio and make a proportion out of it.

S/J = 180/200

Now you make your proportion

S/J = x/300

But the 2 ratios much remain the same.

180/200 = x / 300 Multiply both sides by 300

180*300/200 = x Multiply the numerator together.

54000/200 = x Do the division

270 = x

Smith will have turned out 270 relays.