# Algebra Word Problems: Coins Calculator

> Solve how many coins of two denominations make a known coin count and total value.

Page: https://askcalculators.com/calculator/algebra-word-problems-coins-calculator/
Definition: https://askcalculators.com/calculator/algebra-word-problems-coins-calculator/definition.json
JSON Schema: https://askcalculators.com/calculator/algebra-word-problems-coins-calculator/schema.json
Version: 1.0.0
Maintained by: AskCalculators (software project; not a credentialed reviewer)
Qualified review: pending. Automated checks do not establish professional approval.
Page status: Live
Review status: Pending

## Use
Open the calculator page and enter values. Query-string parameters can restore and bookmark a calculation.
Example: https://askcalculators.com/calculator/algebra-word-problems-coins-calculator/?coinAValue=10&coinBValue=25&totalCoins=20&totalValue=3.5

## Inputs
- coinAValue: Coin A value (cents); type=number; required; default=10; min=0
- coinBValue: Coin B value (cents); type=number; required; default=25; min=0
- totalCoins: Total number of coins; type=number; required; default=20; min=0
- totalValue: Total value ($); type=number; required; default=3.5; min=0

## Outputs
- coinACount: Coin A count; format=integer; primary
- coinBCount: Coin B count; format=integer
- checkValue: Value check; format=currency

## Formula
x + y = total coins; valueA·x + valueB·y = total cents

## Rules
- Empty optional inputs are undefined, not zero.
- Hidden conditional inputs are ignored.
- Do not invent missing required inputs.