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Solving Mixture and Salary Problems: A Quick Guide

This guide provides solutions to various mathematical problems, including calculating the concentration of salt in a brine solution, determining an executive's monthly salary from yearly earnings, finding out how many home runs Babe Ruth hit, and mixing different types of tea to create a specific blend. Each problem includes multiple choice answers, making it an excellent resource for students and math enthusiasts looking to improve their problem-solving skills.

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Solving Mixture and Salary Problems: A Quick Guide

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  1. 1. 2. 3. Express the concentration (in oz/gal) of salt in a mixture of 1 gallons of brine containing 20 ounces of salt, to which some pure water has been added, where x = volume of pure water added (in gallons). Choose the correct answer from the following: • {image} • {image} • {image}

  2. An executive in an engineering firm earns a monthly salary plus a Christmas bonus of $9,000. If she earns a total of $103,800 per year, what is her monthly salary? Choose the correct answer from the following: • $7,900.00 • $8,650.00 • $9,050.00 • $94,800.00

  3. During his major league career, Hank Aaron hit 36 more home runs than Babe Ruth hit during his career. Together they hit 1,512 home runs. How many home runs did Babe Ruth hit? Choose the correct answer from the following: • 738 home runs • 774 home runs • 702 home runs • 756 home runs

  4. A merchant blends tea that sells for $3.05 a pound with tea that sells for $2.80 a pound to produce 80 lb of a mixture that sells for $2.95 a pound. How many pounds of each type of tea does the merchant use in the blend? Choose the correct answer from the following: • 48 lb of tea that sells for $3.05 and 32 lb of tea that sells for $2.80 • 32 lb of tea that sells for $3.05 and 48 lb of tea that sells for $2.80 • 40 lb of tea that sells for $3.05 and 40 lb of tea that sells for $2.80

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