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Addition & Multiplication Word Problems

Word problems: add & multiply. Free online Addition & Multiplication Word Problems for word — instant, accurate results, mobile-friendly, no signup needed.

If X items cost Y, how much for Z items?

Cost for Z
$20.00

Derivation

  1. ├── 01GivenX = 5, Y = 12.5, Z = 8
  2. ├── 02Formulae.Y / t × e.Z
  3. ├── 03Substitutee.12.5 / t × e.8
  4. └── 04Compute Cost for Z$20.00
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§01What is

Understanding the Addition & Multiplication Word Problems

The Addition & Multiplication Word Problems computes Cost for Z from 3 inputs: x, y (total cost), z. Word problems: add & multiply.

Quick calculators for the math that shouldn’t need a notepad — instant, accurate, private to your browser. The Addition & Multiplication Word Problems sits in that toolkit — it word problems: add & multiply. Enter your numbers above and the result updates instantly; every step of the math is shown in the Derivation panel so you can see exactly how the answer was reached.

§02The Formula

How it’s calculated

e.Y / t × e.Z

Where

X
X
Y
Y (total cost)
Z
Z
§03Practical Example

Step-by-step walkthrough

Scenario

Apply the formula to a realistic set of inputs: X = 5, Y (total cost) = 12.5, Z = 8.

  1. 01Start by noting the input — X: 5.
  2. 02Start by noting the input — Y (total cost): 12.5.
  3. 03Start by noting the input — Z: 8.
  4. 04Substitute these values into the formula: e.Y / t × e.Z
  5. 05Compute Cost for Z: the calculator returns 20.
  6. 06Cross-check the answer by opening the Derivation panel above — every line of math is shown so you can follow the computation end-to-end.
§04Variants

Common Addition & Multiplication Word Problems Problems

The formula gets rearranged depending on which variable you need. Here are the patterns you’ll run into in the real world — find the one that matches your problem and follow the worked steps.

01 · PATTERN

X halved

X = 2.5 (from 5)

Keep every other input at its default and halve the x. See how cost for z responds.

  1. 01New X: 2.5
  2. 02Baseline Cost for Z: 20
  3. 03New Cost for Z: 40
  4. 04Cost for Z increases by 100% → use this sensitivity to plan for real-world variation.
02 · PATTERN

X doubled

X = 10 (from 5)

Keep every other input at its default and double the x. See how cost for z responds.

  1. 01New X: 10
  2. 02Baseline Cost for Z: 20
  3. 03New Cost for Z: 10
  4. 04Cost for Z decreases by 50% → use this sensitivity to plan for real-world variation.
03 · PATTERN

Y (total cost) halved

Y = 6.25 (from 12.5)

Keep every other input at its default and halve the y (total cost). See how cost for z responds.

  1. 01New Y (total cost): 6.25
  2. 02Baseline Cost for Z: 20
  3. 03New Cost for Z: 10
  4. 04Cost for Z decreases by 50% → use this sensitivity to plan for real-world variation.
04 · PATTERN

Y (total cost) doubled

Y = 25 (from 12.5)

Keep every other input at its default and double the y (total cost). See how cost for z responds.

  1. 01New Y (total cost): 25
  2. 02Baseline Cost for Z: 20
  3. 03New Cost for Z: 40
  4. 04Cost for Z increases by 100% → use this sensitivity to plan for real-world variation.
§05FAQ

Frequently asked questions

Yes. The calculator implements the standard formula as documented and returns exact floating-point results. No approximations are used unless noted in the formula.
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