Percent and Ratio Problem Solving

The lesson covers percent problems, focusing on identifying the whole and part in word problems. It introduces formulas for calculating percentages and applies them through examples involving bracelets, band students, tire sales, and choir comparisons. Students learn to use algebraic, numeric, and visual models to solve percent problems, emphasizing the importance of context and translation in understanding and applying percent formulas.

What is the formula used to solve percent problems when given two out of three terms: quantity, whole, and percent?

• whole equals percent times quantity

• percent equals whole divided by part

• percent equals quantity times whole

• quantity equals percent times whole

Anna and Emily made 54 bracelets over the weekend. If they need to make 300 in total, what percentage of the bracelets have they completed?

• 25%

• 18%

• 15%

• 20%

If Anna made 32 bracelets, how many did Emily make if they made 54 together?

• 20

• 26

• 22

• 24

What percentage of Anna's bracelets did Emily make?

• 72.5%

• 70%

• 68.75%

• 65.5%

42 students play wind instruments, representing 75% of the band. How many students are in the band?

• 64

• 60

• 56

• 50

A salesman sold 165 tires, which was 60% of the total tires sold. How many tires were sold in total?

• 325

• 300

• 275

• 250

What is the mathematical meaning of 'of' in the context of percent problems?

• Multiplication

• Addition

• Division

• Subtraction

At Kent Middle School, there are 80 students in the choir and 104 in the band. What percent of the choir is the band?

• 75%

• 85%

• 77%

• 80%

What is the approximate percentage of students in the band compared to those in the choir?

• 76.9%

• 78.5%

• 79.2%

• 80.1%

Which method can be used to solve percent problems besides using equations?

• Visual models

• Guess and check

• Trial and error

• Graphical analysis