Question

Create a new problem that looks like to old one. Write it in this box. Include any diagrams as best you can. Devlin will know which one from the context.

Answer 1

The created problem involves Sarah sorting buttons into jars by color, with a given relationship between the number of buttons of each color. The solution requires setting up an equation based on the information given and solving for the number of buttons Sarah has of each color.

Step-by-step explanation:

Create a New Mathematics Problem

Let's create a new mathematics problem similar to the old one. To begin, I'll analyze the problem and identify the information that is provided. It is often useful to draw a time-line to visualize the sequence of events or the steps involved in the problem.

Description of the Problem: Imagine Sarah has a collection of assorted buttons. She decides to separate them into jars for a crafting project. She has twice as many red buttons as blue buttons, and the number of green buttons is half the number of blue buttons. If there are 36 more red buttons than green buttons, how many buttons of each color does Sarah have?

Examples:

Example 3.1.3.1: In a previous problem, we discussed David and the textbook he was covering for a project. Let's adapt that to the current context.

Solution: First, we can let the number of green buttons be 'g', blue be '2g', and red be '4g' (since it is twice the number of blue buttons). According to the problem, red has 36 more buttons than green, which gives us 4g - g = 36. Solving this equation, we get g = 12. Therefore, Sarah has 12 green buttons, 24 blue buttons, and 48 red buttons.