a : Assignment 12a: Missing Value Problems

Submission Instructions: Write your answers to the problems on paper and then scan or take photos of those pages. If there are multiple pages to your completed assignment, you must submit them as one multi-page document (pdf, docx, jpg, or png).

Directions: Complete each of the following. On each double number line, you may make as many extra pairs of quantities as you would like in order to find the quantities you are being asked to find. Partial credit will be given if enough work is shown to indicate some understanding of the solutions.

1. The Original Recipe for orange juice calls for mixing 6 cans of juice concentrate with 8 cans of water. Draw a double number line and use it to find the following quantities so that the flavor of the juice is the same as the Original Recipe.
   1. How many cans of juice concentrate should be mixed with 10 cups of water?
   2. How many cans of water should be mixed with 9 cups of juice concentrate?
2. In a local bakery, each cupcake costs the same amount regardless of how many are purchased. The sign in the bakery states that 12 cupcakes cost $30. Draw a double number line and use it to find the following quantities. Make sure you write the dollar amounts correctly. For example, $4.50 is correct but $4.5 is not a correct way to write money.
   1. How much do 15 cupcakes cost?
   2. If someone spent $45, how many cupcakes did that person buy?
3. Dale charges $30 for shoveling snow for 2.5 hours. He always charges the same rate. Draw a double number line and use it to find the following quantities.
   1. How much will Dale charge if he shovels snow for half an hour?
   2. If Dan charged $18, how many hours did he shovel snow?
4. On a map, 1 inch represents 2.5 miles. Draw a double number line and use it to find the following quantities.
   1. How many miles are represented by 3 inches on the map?
   2. How many inches on the map would be used to represent 22.5 miles?

A building casts a 103-foot shadow at the same time that a 32-foot flagpole casts a 34.5-foot shadow. How tall is the building? (Round your answer to the nearest tenth of a foot.)Assignment 12b: Using Strip Diagrams to Solve Ratio Problems

Submission Instructions: Write your answers to the problems on paper and then scan or take photos of those pages. If there are multiple pages to your completed assignment, you must submit them as one multi-page document (pdf, docx, jpg, or png).

Directions: Complete each of the following. Partial credit will be given if enough work is shown to indicate some understanding of the solutions.

1. “Two pints of red paint are mixed with 5 pints of white paint to make 7 pints of pink paint. Find the quantities requested below so that every combination of white and red paint produces the same shade of pink paint as that original mixture.” It is recommended you draw a strip diagram to represent this problem so that you can answer the two questions below.
   1. If 8 pints of red paint were put in the mixture, how many pints of pink paint were made?
   2. If there are 42 pints of pink paint, how many pints of white paint are in the mixture?
2. One piece of string was 56 inches long. It was cut into two pieces such that their lengths are in a ratio of 3:4. How long is the shorter piece of string?
   1. Draw a strip diagram to represent that problem.
   2. How long is the shorter piece of string?
3. There are 75 red and green apples for sale at a farmer’s fruit stand. There are 4 times as many red apples as green apples. How many more red apples than green apples are there?
   1. Draw a strip diagram to represent that problem.
   2. How many more red apples than green apples are there?
4. A grocery store has 176 bottles for sale in their beverage cooler. Three-fifths of the bottles are water and the rest are sodas. How many bottles of water are in the beverage cooler?
   1. Draw a strip diagram to represent that problem.
   2. How many bottles of water are in the beverage cooler?
5. Could the word problem in #4 above, with the exact numbers that are in the problem, be a real-life problem? Explain.