Lesson 16
Solving More Ratio Problems
Let’s compare all our strategies for solving ratio problems.
Problem 1
Describe a situation that could be represented with this tape diagram.
![Tape diagram, blue parts, 3 and green parts, 2. Each part labeled 6.](https://cms-im.s3.amazonaws.com/aAoGChBTfwqRhFF7WQGYaY5V?response-content-disposition=inline%3B%20filename%3D%226-6.2.E2.PP.Image.Rev.0101.png%22%3B%20filename%2A%3DUTF-8%27%276-6.2.E2.PP.Image.Rev.0101.png&response-content-type=image%2Fpng&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAXQCCIHWF3XOEFOW4%2F20240727%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240727T000108Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=c79648f5594a0fcdd75193de964fdb1a42ecb8fc53629d1726623e19950842cf)
Problem 2
There are some nickels, dimes, and quarters in a large piggy bank. For every 2 nickels there are 3 dimes. For every 2 dimes there are 5 quarters. There are 500 coins total.
- How many nickels, dimes, and quarters are in the piggy bank? Explain your reasoning.
- How much are the coins in the piggy bank worth?
Problem 3
Two horses start a race at the same time. Horse A gallops at a steady rate of 32 feet per second and Horse B gallops at a steady rate of 28 feet per second. After 5 seconds, how much farther will Horse A have traveled? Explain or show your reasoning.
Problem 4
Andre paid $13 for 3 books. Diego bought 12 books priced at the same rate. How much did Diego pay for the 12 books? Explain your reasoning.
Problem 5
Which polyhedron can be assembled from this net?
![A net composed of one equilateral triangle joined on each of its sides to a isosceles triangle.](https://cms-im.s3.amazonaws.com/P6xKRck2hn9qgUGjTHbxbsN8?response-content-disposition=inline%3B%20filename%3D%226-6.1.E.PP.New.Image.18.png%22%3B%20filename%2A%3DUTF-8%27%276-6.1.E.PP.New.Image.18.png&response-content-type=image%2Fpng&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAXQCCIHWF3XOEFOW4%2F20240727%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240727T000108Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=e22b00d13d6814e079f1c2f9462b4b6b60f974f3aa9fa180a50d8bcf7d0b6fa2)
A triangular pyramid
A trapezoidal prism
A rectangular pyramid
A triangular prism
Problem 6
Find the area of the triangle. Show your reasoning. If you get stuck, consider drawing a rectangle around the triangle.
![A slanted triangle drawn on a 7 by 7 grid.](https://cms-im.s3.amazonaws.com/tMLw3NK2ekEKRLp527tV3tq8?response-content-disposition=inline%3B%20filename%3D%226-6.1.C.PP_Image_33.png%22%3B%20filename%2A%3DUTF-8%27%276-6.1.C.PP_Image_33.png&response-content-type=image%2Fpng&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAXQCCIHWF3XOEFOW4%2F20240727%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240727T000108Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=24d79ad56cab6610867420f7a9a557ecfb6bf2fe11e1079a86b4166acd64f3d1)