Math Problem Statement

Jaden baked 10 cookies with 2 scoops of flour. With 10 scoops of flour, how many cookies can Jaden bake?

Solution

To solve this, we can use a simple ratio based on the relationship between the amount of flour and the number of cookies.

We know:

  • 2 scoops of flour → 10 cookies

We need to find how many cookies can be made with 10 scoops of flour. Let's set up a proportion:

2scoops10cookies=10scoopsxcookies\frac{2 \, \text{scoops}}{10 \, \text{cookies}} = \frac{10 \, \text{scoops}}{x \, \text{cookies}}

Now, solve for xx:

x=10scoops×10cookies2scoops=50cookiesx = \frac{10 \, \text{scoops} \times 10 \, \text{cookies}}{2 \, \text{scoops}} = 50 \, \text{cookies}

Therefore, Jaden can bake 50 cookies with 10 scoops of flour.

Would you like more details or further clarifications? Here are some related questions:

  1. If Jaden had 5 scoops of flour, how many cookies could be made?
  2. What if Jaden used 20 scoops of flour? How many cookies then?
  3. If Jaden wanted to bake 25 cookies, how many scoops of flour would be needed?
  4. How does the number of scoops change if the recipe is scaled for 100 cookies?
  5. How many cookies can be made with 15 scoops of flour?

Tip: Setting up proportions is a great way to solve problems that involve a direct relationship between two quantities.

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Math Problem Analysis

Mathematical Concepts

Proportions
Ratios
Direct Variation

Formulas

\frac{2 \text{scoops}}{10 \text{cookies}} = \frac{10 \text{scoops}}{x \text{cookies}}

Theorems

Proportion Theorem

Suitable Grade Level

Grade 6-8