Solving a Mixture Problem (2.3.3) Flashcards
• Mixture problems: Word problems that set up equations involving various substances mixed together.
• Mixture problems: Word problems that set up equations involving various substances mixed together.
- Tricks for mixture problems:
- Make sure the amounts are all measured in the same unit.
- Convert any percents to two-place decimals.
- Tricks for mixture problems:
- Make sure the amounts are all measured in the same unit.
- Convert any percents to two-place decimals.
• Remember: the translation process from words to an equation is the true math in word problems and where the real thinking occurs.
• Remember: the translation process from words to an equation is the true math in word problems and where the real thinking occurs.
• In defining the variable, usually one amount is the variable and the other amount involves addition or subtraction with the variable.
• In defining the variable, usually one amount is the variable and the other amount involves addition or subtraction with the variable.
Read the problem.
Draw a sketch.
Write the known facts. In this problem:
1. There are 200 g of metal that is 50% silver.
2. This 200 g was made by mixing pure silver
with 45% silver metal.
Define the variable and create the equation. Read the problem carefully at this point.
Remember to change any percents into decimals.
Read the problem.
Draw a sketch.
Write the known facts. In this problem:
1. There are 200 g of metal that is 50% silver.
2. This 200 g was made by mixing pure silver
with 45% silver metal.
Define the variable and create the equation. Read the problem carefully at this point.
Remember to change any percents into decimals.
Solving this equation is straightforward. Pay careful attention to:
- arithmetic with the decimals
- distribution across parentheses.
Solving this equation is straightforward. Pay careful attention to:
- arithmetic with the decimals
- distribution across parentheses.