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.
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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!