Nabria’s age is 8 years less than 5 times her brother’s age. Nabria’s age is 10 minus her brother’s age. How old is Nabria?Group of answer choices

{ "query": { "display": "Nabria’s age is 8 years less than 5 times her brother’s age. Nabria’s age is 10 minus her brother’s age. How old is Nabria?Group of answer choices", "symbolab_question": "#Nabria’s age is 8 years less than 5 times her brother’s age. Nabria’s age is 10 minus her brother’s age. How old is Nabria?Group of answer choices" }, "solution": { "level": "PERFORMED", "subject": "Word Problems", "topic": "Age", "subTopic": "Other", "default": "\\mathrm{\\mathrm{Nabria}'s\\:age\\:is:}\\:7" }, "steps": { "type": "interim", "title": "Nabria's age is 8 years less than 5 times her brother's age.<br/>Nabria's age is 10 minus her brother's age.<br/>How old is Nabria?.<br/>Group of answer choices<br/> <br/>\\mathrm{Nabria}'s age is: $$7$$", "steps": [ { "type": "interim", "title": "Translate the problem into an equation:$${\\quad}5x-8=10-x$$", "steps": [ { "type": "step", "primary": "Represent ages in terms of $$x:$$", "result": "\\mathrm{Brother}\\::\\:x<br/>\\mathrm{Nabria}\\::\\:5x-8" }, { "type": "step", "primary": "Write an equation for their ages ", "result": "5x-8=10-x" } ] }, { "type": "interim", "title": "Solve for $$x,\\:5x-8=10-x:{\\quad}x=3$$", "input": "5x-8=10-x", "steps": [ { "type": "interim", "title": "Move $$8\\:$$to the right side", "input": "5x-8=10-x", "result": "5x=-x+18", "steps": [ { "type": "step", "primary": "Add $$8$$ to both sides", "result": "5x-8+8=10-x+8" }, { "type": "step", "primary": "Simplify", "result": "5x=-x+18" } ], "meta": { "gptData": "pG0PljGlka7rWtIVHz2xymbOTBTIQkBEGSNjyYYsjjDErT97kX84sZPuiUzCW6s7LgHzLqQ6QDjTbxIv8wVaSLyIPvHo8B++d5KNtdOKqBXQEe3swWx0a9y6SgIb+jRrS8DfmRBUqpCWOuo05WrN0C/cVim+tGQ4ZIXHkwu43nYnooR4Hvdas6/izLf6TWT7cXGfWuywtjebrMbja5E8JJDDsPvhQkQSaykqx9sc+sYtAn6lO7qZ/lL4/WVejrJ5ARU8qjo0m/KpxT6jen7jnhTM0veozT2orf05cTOKtOJ/qfoUGLEj8qrvPodVWH2Kks+G1vy4awvGGPD7/gYBVuskXp35SLC9tTNAcCuErUZlISsdmdwD+ph1DxNPXnUH5FOU5DDFhEudchbE5CU+pX5QeOPnAIW5dOQ+zdaOF52FA8Qbs7VnVnRJjlwXtyy6VjzasxIZD+ag+oqDVOLPX4vXP5xxoSKrz0abbXUotpaSY/+cSinQeRR8DuBv3x5/JsReacQHo4DAXV3/DR5fppN3SvYTeqT5M1TX8/JI3LcYSj9hYLR7oG7nC3HQ12CELJG3jAjGcwowSlGTROSt97CI2sSeA74029n2yo277ZU=" } }, { "type": "interim", "title": "Move $$x\\:$$to the left side", "input": "5x=-x+18", "result": "6x=18", "steps": [ { "type": "step", "primary": "Add $$x$$ to both sides", "result": "5x+x=-x+18+x" }, { "type": "step", "primary": "Simplify", "result": "6x=18" } ], "meta": { "gptData": "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" } }, { "type": "interim", "title": "Divide both sides by $$6$$", "input": "6x=18", "result": "x=3", "steps": [ { "type": "step", "primary": "Divide both sides by $$6$$", "result": "\\frac{6x}{6}=\\frac{18}{6}" }, { "type": "step", "primary": "Simplify", "result": "x=3" } ], "meta": { "gptData": "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" } } ], "meta": { "solvingClass": "Equations" } }, { "type": "interim", "title": "Find Nabria's age$$:{\\quad}7$$", "steps": [ { "type": "step", "primary": "Plug in the value for $$x\\:$$to find current ages:", "result": "\\mathrm{Brother}\\::\\:3<br/>\\mathrm{Nabria}\\::\\:5\\cdot\\:3-8" }, { "type": "step", "result": "5\\cdot\\:3-8=7" } ] }, { "type": "step", "result": "\\mathrm{\\mathrm{Nabria}'s\\:age\\:is:}\\:7" } ] } }