Ratio Word Problems
Ratio Word Problems is a skill on Pengi from Lesson 34: Proportions and Ratio Word Problems in Saxon Math, Course 3.
Key Concepts
Property Use a ratio table with two columns, 'Ratio' and 'Actual Count', and two rows for the items being compared. This table helps organize the numbers from a word problem to set up a proportion.
Examples The ratio of boys to girls is 3 to 4. If there are 12 girls, how many boys? Set up $$\frac{3}{4} = \frac{b}{12}$$. Since $4 \times 3 = 12$, then $3 \times 3 = 9$. There are 9 boys. A triangle's base to height ratio is 3 to 2. If the base is 24 inches, find the height. Set up $$\frac{3}{2} = \frac{24}{h}$$. Since $3 \times 8 = 24$, then $2 \times 8 = 16$. The height is 16 inches.
Explanation Word problems can be messy, but a ratio table is your secret weapon for tidiness! It neatly sorts the 'recipe' numbers (the ratio) from the 'real world' numbers (the actual count). This little grid makes it super easy to build a proportion and solve for the missing piece of the puzzle.
Common Questions
What is Ratio Word Problems?
Ratio Word Problems is a skill on Pengi from Lesson 34: Proportions and Ratio Word Problems in Saxon Math, Course 3.
What grade level is Ratio Word Problems for?
Ratio Word Problems is part of the Grade 8 Math curriculum, covered in Saxon Math, Course 3. It is designed for students studying Math at the Grade 8 level.
How can I learn Ratio Word Problems?
Pengi offers an AI-guided lesson for Ratio Word Problems that walks you through the key concepts step by step. The lesson is aligned to Saxon Math, Course 3 so the content matches what you see in class.
How do I practice Ratio Word Problems?
After learning the concept, use the Practice mode to work through targeted exercises on Ratio Word Problems. The AI adapts to your level and gives feedback on each answer so you can identify and fix mistakes.
Which textbook covers Ratio Word Problems?
Ratio Word Problems is covered in Saxon Math, Course 3, specifically in Chapter 4: Algebra • Measurement under Lesson 34: Proportions and Ratio Word Problems. Pengi's lesson is aligned directly to this textbook so you can follow along with your class.
Is Ratio Word Problems free to study on Pengi?
Yes, the core Learn and Practice modes for Ratio Word Problems are available for free on Pengi. No credit card is required to start studying.