Two-step word problems, step by step

A two-step problem is where word problems get genuinely hard.

The question

How many tomatoes does Nadia have now?

Nadia has a box of 27 tomatoes. An aunt sends 6, and soon after Nadia donates 10 to the club.
Nadia has a box of 27 tomatoes. An aunt sends 6, and soon after Nadia donates 10 to the club.
asked:How many tomatoes does Nadia have now?
27 + 6 = 33
27 + 6 = 33
33 − 10 = 23
27 + 6 = 33
33 − 10 = 23
23 tomatoes
  1. Read it through and count the QUESTIONS, not the numbers. There are two here, and only one of them is asked out loud — the number you were asked for cannot be reached from the story in one go, so something has to be worked out first.
  2. Every number here is used, which will not always be true — a story may mention something true that the question never asks about. Check what the question needs rather than collecting what the text offers.
  3. The first thing that CAN be worked out is 27 and 6, by adding: 27 + 6 = 33. That 33 is not the answer — it is the number the story never gave you.
  4. Now the second step, and its first number is the 33 you just worked out rather than anything written in the story. Take away the 10: 33 − 10 = 23.
  5. Two steps, and the answer to the question that was asked — "How many tomatoes does Nadia have now?" — is 23 tomatoes.

How it works.

  1. 01

    Read it through and count the QUESTIONS, not the numbers. There are two here, and only one of them is asked out loud — the number you were asked for cannot be reached from the story in one go, so something has to be worked out first.

  2. 02

    Every number here is used, which will not always be true — a story may mention something true that the question never asks about. Check what the question needs rather than collecting what the text offers.

  3. 03

    The first thing that CAN be worked out is 27 and 6, by adding: 27 + 6 = 33. That 33 is not the answer — it is the number the story never gave you.

  4. 04

    Now the second step, and its first number is the 33 you just worked out rather than anything written in the story. Take away the 10: 33 − 10 = 23.

  5. 05

    Two steps, and the answer to the question that was asked — "How many tomatoes does Nadia have now?" — is 23 tomatoes.