--- title: Working backwards through two steps — a lesson of Mova's school · trees and pragmatics description: «Working backwards through two steps», a lesson of the lessons course of Mova's primary school, sentence by sentence with dependency trees and pragmatics. It begins: To find how many there were at the start, begin at the end and undo each step in the opposite order. --- [Mova](https://md.mova.elamur.ai/free/en/) · [this page in HTML](https://mova.elamur.ai/free/en/corpora/school/lessons/117-working-backwards/) [home](https://md.mova.elamur.ai/free/en/) / [corpora](https://md.mova.elamur.ai/free/en/corpora/) / [school](https://md.mova.elamur.ai/free/en/corpora/school/) / [Lessons](https://md.mova.elamur.ai/free/en/corpora/school/lessons/) / Working backwards through two steps # Working backwards through two steps Lesson 117 of the lessons course of Mova's primary school: 3 sentences, each with its syntax tree and pragmatics. The lessons are written for Mova, and their agreed trees are part of Mova corpus 0.4 (CC BY-SA 4.0). - [0](https://md.mova.elamur.ai/free/en/corpora/school/lessons/117-working-backwards/0/) — To find how many there were at the start, begin at the end and undo each step in the opposite order. - [1](https://md.mova.elamur.ai/free/en/corpora/school/lessons/117-working-backwards/1/) — Undo «spent half» by doubling, undo «spent 4» by adding 4 back, undo «got 4 more» by taking 4 away. - [2](https://md.mova.elamur.ai/free/en/corpora/school/lessons/117-working-backwards/2/) — She spent half her money, then 4 dollars more, and had 6 left: before the 4 she had 6 + 4 = 10, before the half 10 × 2 = 20. - ← previous: [The average of a few scores](https://md.mova.elamur.ai/free/en/corpora/school/lessons/116-average/) - next →: [Two steps and a number you do not need](https://md.mova.elamur.ai/free/en/corpora/school/lessons/118-distracting-number/) - ↑ back to [Lessons](https://md.mova.elamur.ai/free/en/corpora/school/lessons/)