Question
upstudy study bank question image url

If you mix the gummy bears and lemon drops together, how many cups will there be in a Fruity candy mix INGREDIENTS: 2 cups gumdrops 1 cup jelly beans \( \frac{1}{3} \) cup gumrry worms \( \frac{5}{8} \) cup gummy bears 2 cups jelly fruit slices \( \frac{1}{4} \) cup lemon drops Write your answer as a fraction or as a whole or mixed number.

Ask by Mckenzie Delgado. in the United States
Feb 25,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

The total number of cups in the Fruity candy mix is \( \frac{149}{24} \) cups, which is \( 6\frac{5}{24} \) cups or approximately 6.2083 cups.

Solution

To find the total number of cups in the Fruity candy mix, we need to add up the quantities of all the ingredients. Given: - 2 cups gumdrops - 1 cup jelly beans - \( \frac{1}{3} \) cup gummy worms - \( \frac{5}{8} \) cup gummy bears - 2 cups jelly fruit slices - \( \frac{1}{4} \) cup lemon drops Let's add up the quantities of all the ingredients to find the total number of cups in the Fruity candy mix. Calculate the value by following steps: - step0: Calculate: \(2+1+\frac{1}{3}+\frac{5}{8}+2+\frac{1}{4}\) - step1: Add the numbers: \(5+\frac{1}{3}+\frac{5}{8}+\frac{1}{4}\) - step2: Reduce fractions to a common denominator: \(\frac{5\times 3\times 8}{3\times 8}+\frac{8}{3\times 8}+\frac{5\times 3}{8\times 3}+\frac{6}{4\times 6}\) - step3: Multiply the numbers: \(\frac{5\times 3\times 8}{24}+\frac{8}{3\times 8}+\frac{5\times 3}{8\times 3}+\frac{6}{4\times 6}\) - step4: Multiply the numbers: \(\frac{5\times 3\times 8}{24}+\frac{8}{24}+\frac{5\times 3}{8\times 3}+\frac{6}{4\times 6}\) - step5: Multiply the numbers: \(\frac{5\times 3\times 8}{24}+\frac{8}{24}+\frac{5\times 3}{24}+\frac{6}{4\times 6}\) - step6: Multiply the numbers: \(\frac{5\times 3\times 8}{24}+\frac{8}{24}+\frac{5\times 3}{24}+\frac{6}{24}\) - step7: Transform the expression: \(\frac{5\times 3\times 8+8+5\times 3+6}{24}\) - step8: Multiply the terms: \(\frac{120+8+5\times 3+6}{24}\) - step9: Multiply the numbers: \(\frac{120+8+15+6}{24}\) - step10: Add the numbers: \(\frac{149}{24}\) The total number of cups in the Fruity candy mix is \( \frac{149}{24} \) cups, which can also be written as \( 6\frac{5}{24} \) cups or approximately 6.2083 cups.

Answered by UpStudy AI and reviewed by a Professional Tutor

error msg
Explain
Simplify this solution

Mind Expander

To find the total amount of fruity candy mix, we need to sum the quantities of all the ingredients listed, keeping in mind that some measurements are in fractions. Let's convert everything to cups and add them up: - Gumdrops: 2 cups - Jelly beans: 1 cup - Gummy worms: \( \frac{1}{3} \) cup - Gummy bears: \( \frac{5}{8} \) cup - Jelly fruit slices: 2 cups - Lemon drops: \( \frac{1}{4} \) cup Now, let's convert everything to a common denominator to add them easily. The least common multiple of 3, 8, and 4 is 24. - Gumdrops: 2 cups = \( \frac{48}{24} \) - Jelly beans: 1 cup = \( \frac{24}{24} \) - Gummy worms: \( \frac{1}{3} \) cup = \( \frac{8}{24} \) - Gummy bears: \( \frac{5}{8} \) cup = \( \frac{15}{24} \) - Jelly fruit slices: 2 cups = \( \frac{48}{24} \) - Lemon drops: \( \frac{1}{4} \) cup = \( \frac{6}{24} \) Now let's add these amounts together: \[ \frac{48}{24} + \frac{24}{24} + \frac{8}{24} + \frac{15}{24} + \frac{48}{24} + \frac{6}{24} = \frac{149}{24} \] This can be expressed as a mixed number: \( \frac{149}{24} = 6 \frac{5}{24} \) So, the total amount of fruity candy mix is \( 6 \frac{5}{24} \) cups!

Latest Arithmetic Questions

Try Premium now!
Try Premium and ask Thoth AI unlimited math questions now!
Maybe later Go Premium
Study can be a real struggle
Why not UpStudy it?
Select your plan below
Premium

You can enjoy

Start now
  • Step-by-step explanations
  • 24/7 expert live tutors
  • Unlimited number of questions
  • No interruptions
  • Full access to Answer and Solution
  • Full Access to PDF Chat, UpStudy Chat, Browsing Chat
Basic

Totally free but limited

  • Limited Solution
Welcome to UpStudy!
Please sign in to continue the Thoth AI Chat journey
Continue with Email
Or continue with
By clicking “Sign in”, you agree to our Terms of Use & Privacy Policy