Algebra Readiness Q12 | Pierce College math assessment sample

TL;DR

Learn how to solve ratio problems using fractions, and apply it to a specific problem of finding the number of female students in a class of 35 students.

Transcript

let me show you how can break down is your problem right here number 12 the ratio of the number of female students to the total number of students is two to five and then we know that there are 35 students in a class and we're trying to find out how many of them are female and this is how we are going to set up first we are going to picked out the ... Read More

Key Insights

• 🥳 Ratios can be solved using fractions by setting up proportions between the specific ratio and the total.
• 🥳 The numerator of the fraction represents the specific ratio, while the denominator represents the total.
• 😵 There are multiple methods to solve ratio problems using fractions, including finding the common multiple and using cross multiplication in algebra.
• 😫 Consistency in the numerator and denominator is crucial when setting up the proportion equation.
• ✖️ Solving for the unknown involves multiplying the numerator and denominator by the same factor or cross multiplying in algebra.
• 😵 The answer to the problem can be found using both the common multiple method and the cross multiplication method.
• 🔑 Understanding and identifying key words in ratio problems helps in setting up the proportion equation correctly.

Questions & Answers

Q: How do you solve ratio problems using fractions?

To solve ratio problems using fractions, identify the keywords, convert the ratio to a fraction, set up a proportion equation, and solve for the unknown using either the common multiple method or cross multiplying in algebra.

Q: What is the key to setting up a proportion equation?

The key to setting up a proportion equation is to be consistent with the numerator and denominator, where the numerator represents the specific ratio being considered, and the denominator represents the total.

Q: What are the two methods demonstrated in the video?

The video demonstrates two methods for solving ratio problems using fractions: finding the common multiple method and cross multiplying in algebra.

Q: How is the common multiple method used to find the answer?

The common multiple method involves finding a common multiple between the original denominator and the new denominator, and then multiplying the numerator by the same factor. This yields the desired answer.

Q: How is cross multiplication used in algebra to find the answer?

In algebra, cross multiplication is used to eliminate the fractions. The product of the numerators is set equal to the product of the denominators, which allows for solving the equation and finding the unknown.

Summary & Key Takeaways

• The content teaches how to solve ratio problems using fractions, with an example of finding the number of female students in a class of 35 students.

• The key steps include identifying the key words, turning the ratio into a fraction, setting up the proportion equation, and solving for the unknown.

• Two methods are demonstrated: finding the common multiple and cross multiplying in algebra.