  ### Home > AC > Chapter 2 > Lesson 2.2.2 > Problem2-106

2-106.

To bake $100$ of his favorite cookies, Mr. Wallis needs $350$ grams of sugar. 2-106 HW eTool (Desmos).

1. How many grams of sugar would he need to bake $10$ cookies? What about $20$ cookies? Show all work.

You can use a proportion to solve this problem. Once you find the amount of sugar necessary for $10$ cookies, simply multiply by $2$ to find the amount necessary for $20$ cookies.

2. What is the unit rate? That is, how many grams of sugar are needed for $1$ cookie?

 Cookies Sugar (g) $100$ $350$ $10$ $20$ $2$ $1$ $5$ $700$ $1400$

Notice that it takes $35$ grams of sugar to create $10$ cookies. Divide $35$ by $10$ to get the unit rate.

Unit rate: $3.5$ grams of sugar per cookie

3. To help him know how much sugar to use when baking cookies, Mr. Wallis started to make a table, as shown above. Copy and complete his table on your paper.

Proportions, again, will be very useful. A sample proportion is provided below.

$\frac{100\text{ cookies}}{350\text{ grams}}=\frac{2\text{ cookies}}{x\text{ grams}}$

$x=7$

Complete the table in the eTool below to solve the problem.
Click the link at right for the full version of the eTool: AC 2-106 HW eTool