The Alligation Cross

04 Try it yourself Interactive

The alligation cross, one subtraction at a time

Choose the cheaper value, the dearer value and the target mean. The console places them, crosses the two subtractions, simplifies, and — if you give a total quantity — shares it out. Try setting a mean outside the two values and see it refused: that combination is impossible, not merely awkward.

Rice at 40 and 60, blended to 45

3 : 1

Every preset here is one of the worked source questions, so you can check the console against the printed answer.

Press Next to work through it one step at a time.

Cheaper–

Dearer–

Ratio–

Dearer parts–

step 0 / 0