Zoey made 5 1/2 cups of trail mix fir a camping trip. She wants to divide the trail mix into 3/4 cup servings. Ten people are going on the camping trip. Can Zoey make enough 3/4 cup servings so that each person on the trip has one serving? What size would the servings need to be for everyone to have a serving? If Zoey decides to use the 3/4 cup servings, how much more trail mix will she need? Explain

Respuesta :

3/4 + 3/4 + 3/4 + 3/4 + 3/4 + 3/4 + 3/4 + 3/4 + 3/4 + 3/4 = 30/4 = 7 1/2
No, Zoey could not make enough servings. 
She could use 1/2 cups and have 1/2 of a cup left over.
Zoey would need 2 more cups.

The measurement of the trail mix servings and quantity made are given as

fractions of a cup.

The correct responses are;

  • First part; The 5 1/2 cups made will not be enough when each person on the trip has one serving
  • Second part; The serving size required is 11/20 cups/serving.
  • Third Part; She needs 2 more cups of trail mix for the serving size of 3/4 cups

Reasons:

The given parameters are;

Amount of trail mix fir Zoey made for the camping trip = 5 1/2 cup

Amount of trail mix per serving  = 3/4 cup = 0.75 of a cup

Number of people going on the camping trip = 10 people

First part; Required:

Can the trail mix made go round every person at 3/4 cup per serving

Solution;

At 3/4 cup per serving, we have;

Amount of trail mix required for 10 people = [tex]10 \times \dfrac{3}{4} \ cups = 7\frac{1}{2} \ cups[/tex]

Number of cups made, [tex]5\frac{1}{2}[/tex] cups, is not up to the [tex]7\frac{1}{2}[/tex] cups required,

therefore; The [tex]\underline{5\frac{1}{2}}[/tex] cups made will not be enough when each person on the

trip has one serving.

Second part; Required:

The serving size that will ensure everyone can have a serving.

Solution:

[tex]The \ serving \ size = \dfrac{5\frac{1}{2} \ cups}{10 \ serving} = \dfrac{11}{20} \ cups/serving[/tex]

The serving size required is 11/20 cups/serving.

Third part; Required:

The amount more of trail mix that is needed for the 3/4 serving size to be used.

Solution:

To enable the 3/4 cup servings to be used, the amount of more trail mix

Zoey needs is the difference between the amount required for 10 people

at 3/4 cup servings rate and the amount she made.

Extra trail mix needed = [tex]7\frac{1}{2}[/tex] cups - [tex]5\frac{1}{2}[/tex] cups = 2 cups

She needs 2 more cups of trail mix for the serving size of 3/4 cups.

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https://brainly.com/question/17212219