{
  "id": "algebra-word-problems-coins-calculator",
  "version": "1.0.0",
  "name": "Algebra Word Problems: Coins Calculator",
  "shortName": "Algebra Word Problems: Coins",
  "description": "Solve how many coins of two denominations make a known coin count and total value.",
  "category": "Math & Statistics",
  "categorySlug": "math-statistics",
  "keywords": [
    "algebra",
    "word",
    "problems",
    "coins",
    "calculator",
    "algebra word problems coins calculator"
  ],
  "status": "live",
  "workStatus": "pending",
  "reviewStatus": "pending",
  "migrationStatus": "new",
  "engine": "native",
  "creator": null,
  "reviewer": null,
  "quality": {
    "availability": "live",
    "technicalReviewRecord": "/reviews/algebra-word-problems-coins-calculator.json",
    "qualifiedReview": "pending",
    "qualifiedReviewer": null,
    "qualifiedReviewDate": null,
    "formulaVersion": "1.0.0",
    "referenceCoverage": "references-pending",
    "releaseTestScope": "Catalog and regression checks are not a professional formula audit; consult release evidence.",
    "historicalMetadataDate": "2026-09-01",
    "historicalMetadataNotice": "The imported date is not evidence of a completed human review."
  },
  "urls": {
    "page": "/calculator/algebra-word-problems-coins-calculator/",
    "definition": "/calculator/algebra-word-problems-coins-calculator/definition.json",
    "schema": "/calculator/algebra-word-problems-coins-calculator/schema.json",
    "llms": "/calculator/algebra-word-problems-coins-calculator/llms.txt",
    "legacyDefinition": "/calculator/algebra-word-problems-coins-calculator.json"
  },
  "queryExample": "https://askcalculators.com/calculator/algebra-word-problems-coins-calculator/?coinAValue=10&coinBValue=25&totalCoins=20&totalValue=3.5",
  "queryParameters": {
    "coinAValue": {
      "label": "Coin A value (cents)",
      "type": "number",
      "required": true,
      "default": 10
    },
    "coinBValue": {
      "label": "Coin B value (cents)",
      "type": "number",
      "required": true,
      "default": 25
    },
    "totalCoins": {
      "label": "Total number of coins",
      "type": "number",
      "required": true,
      "default": 20
    },
    "totalValue": {
      "label": "Total value ($)",
      "type": "number",
      "required": true,
      "default": 3.5
    }
  },
  "inputs": [
    {
      "id": "coinAValue",
      "label": "Coin A value (cents)",
      "type": "number",
      "required": true,
      "defaultValue": 10,
      "min": 0,
      "step": 0.01
    },
    {
      "id": "coinBValue",
      "label": "Coin B value (cents)",
      "type": "number",
      "required": true,
      "defaultValue": 25,
      "min": 0,
      "step": 0.01
    },
    {
      "id": "totalCoins",
      "label": "Total number of coins",
      "type": "number",
      "required": true,
      "defaultValue": 20,
      "min": 0,
      "step": 1
    },
    {
      "id": "totalValue",
      "label": "Total value ($)",
      "type": "number",
      "required": true,
      "defaultValue": 3.5,
      "min": 0,
      "step": 0.01
    }
  ],
  "outputs": [
    {
      "id": "coinACount",
      "label": "Coin A count",
      "format": "integer",
      "primary": true
    },
    {
      "id": "coinBCount",
      "label": "Coin B count",
      "format": "integer"
    },
    {
      "id": "checkValue",
      "label": "Value check",
      "format": "currency",
      "digits": 2
    }
  ],
  "formula": {
    "expression": "x + y = total coins; valueA·x + valueB·y = total cents"
  },
  "examples": [
    {
      "label": "Reproducible default-input example (not a personal recommendation)",
      "inputs": {
        "coinAValue": 10,
        "coinBValue": 25,
        "totalCoins": 20,
        "totalValue": 3.5
      }
    }
  ],
  "sources": []
}