Math Problem Statement

Jaden baked 18 cookies with 3 scoops of flour. With 7 scoops of flour, how many cookies can Jaden bake? Solve using unit rates.

 cookies

Solution

To solve this problem using unit rates, we'll first determine the number of cookies Jaden can bake per scoop of flour, and then use that rate to find out how many cookies Jaden can bake with 7 scoops of flour.

Step 1: Calculate the unit rate (cookies per scoop of flour)

Jaden baked 18 cookies with 3 scoops of flour.

The unit rate is: Cookies per scoop of flour=Total cookiesTotal scoops of flour=18 cookies3 scoops of flour=6 cookies per scoop of flour\text{Cookies per scoop of flour} = \frac{\text{Total cookies}}{\text{Total scoops of flour}} = \frac{18 \text{ cookies}}{3 \text{ scoops of flour}} = 6 \text{ cookies per scoop of flour}

Step 2: Determine the number of cookies that can be baked with 7 scoops of flour

Now that we know Jaden can bake 6 cookies per scoop of flour, we can find out how many cookies he can bake with 7 scoops:

Total cookies=Cookies per scoop×Number of scoops=6 cookies per scoop×7 scoops=42 cookies\text{Total cookies} = \text{Cookies per scoop} \times \text{Number of scoops} = 6 \text{ cookies per scoop} \times 7 \text{ scoops} = 42 \text{ cookies}

So, with 7 scoops of flour, Jaden can bake 42 cookies.

Would you like more details or have any questions?

Here are some related questions you might find useful:

  1. How many scoops of flour would Jaden need to bake 30 cookies?
  2. If Jaden only has 4 scoops of flour, how many cookies can he bake?
  3. If Jaden increases the number of scoops to 10, how many cookies will he bake?
  4. How many scoops of flour are needed to bake 60 cookies?
  5. What is the maximum number of cookies Jaden can bake with 5 scoops of flour?

Tip: When working with unit rates, always start by finding the rate per one unit, then multiply or divide as needed based on the problem's requirements.

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Math Problem Analysis

Mathematical Concepts

Unit Rate
Multiplication

Formulas

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Theorems

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Suitable Grade Level

Grades 3-5