Tutor profile: Ehsun A.
Solve for X: 2X + 44 = 144
Step 1. Identify Given Data: -- the formula given is 2X+44=144 Step 2. Determine what we are Solving: -- solving for "X" Step 3. Perform the Order of Operations to Solve for "X": -- Use PEMDAS to assist with this process of solving for "X". -----> P, Parentheses -----> E, Exponents -----> M & D, Multiplication and Division (from left to right) -----> A & D, Addition and Subtraction (from left to right) 2X + 44 = 144 ---- subtract 44 on both sides of the equation. 2X = 144 - 44 2X = 100 ---- divide by 2 on both sides of the equation. X = 100/2 X = 50 Step 4. Solution: X = 50
Subject: Basic Chemistry
Imagine you have a tablespoon of salt and a gallon of water. You take the salt and mix it into the water. Part A. Is the salt the Solute, Solvent, or neither? Part B. Is the water the Solute, Solvent, or neither? Part C. What is the chemical formula for water?
Solutions: Part A. The Salt is the Solute. Part B. The Water is the Solvent. Part C. The chemical formula for Water is H20. Explanation: Part A & B. The Solute (salt) is dissolved in the Solvent (water). In general, when you have a mixture of two fluids, the one being dissolved is the Solute. Part C. Water is made of 2 Hydrogen (H) Atoms and 1 Oxygen (O) Atom. In general, when there is only 1 atom there is no need to write it out.
Tom and Mandy were selling 2 items from their farm today. They sold apples at $2.50 per bag. In addition to the apples, they sold watermelons at $5.75 each. At the end of the day Tom and Mandy made a total of $147.25. Now they need to record their sales to track their inventory. Tom misplaced the sheet of paper that had the total number of bags of apples sold today. If they sold 13 watermelons, how many bags of apples did they sell in order to obtain a total of $147.25?
METHOD 1 - Create a Formula for the Algebra Problem. Step 1. Identify the Given Data: Item 1 = Watermelon -- Quantity = 13 -- Cost = $5.75 each Item 2 = Bag of Apples -- Quantity = Unknown -- Cost = $2.50 per bag Step 2. Create a Formula: [(Item 1 Quantity)*(Item 1 Cost)] + [(Item 2 Quantity)*(Item 2 Cost)] = Total Sales Step 3. Solve the Formula: Enter what you know: [(13)*($5.75)] + [(Item 2 Quantity)*($2.50)] = $147.25 Solve for "Item 2 Quantity": [(13)*($5.75)] + [(Item 2 Quantity)*($2.50)] = $147.25 [$74.75] + [(Item 2 Quantity)*($2.50)] = $147.25 (Item 2 Quantity)*($2.50) = $72.50 Item 2 Quantity= 29 Step 4. Solution: 29 Bags of Apples. METHOD 2 - Write out the Algebra Problem without a Formula. Step 1. Identify the Given Data: - Cost of One Bag of Apples is $2.50. - Cost of One Watermelon is $5.75. - 13 Watermelons sold. - Total Sales of $147.25. Step 2. What are we Solving?: - Total Bags of Apples Sold = Unknown Step 3. Work with what you know. Calculate Total Sales of Watermelons: - [(Item)*(Price)] = Total Sales for an Item - [(13 Watermelons)*($5.75 per Watermelon)] = $74.75 in Watermelon Sales - Watermelon Sales = $74.75 Step 4. Deduct the Watermelon Sales from the Total Sales to Determine the Remaining (Apple Sales): - Total Watermelon Sales = $74.75 - Total Sales = $147.25 - [(Total Sales)-(Total Watermelon Sales)] = Total Apple Sales - [($147.25)-($74.75)] = $72.50 - Total Apple Sales = $72.50 Step 5. Total Apple Sales Divided by Cost per Bag of Apples to Determine the Number of Bags Sold: - Total Apple Sales = $72.50 - Cost of Each Bag of Apples = $2.50 - [(Total Apple Sales)/(Cost of One Bag of Apples)] = Total Bags of Apples Sold - [($72.50)/($2.50)] = 29 - Total Bags of Apples Sold = 29 Step 6. Solution: - Tom and Mandy sold a total of 29 bags of apples.
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