Verified Answer :
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 = \(10 \times \dfrac{3}{4} \ cups = 7\frac{1}{2} \ cups\)
Number of cups made, \(5\frac{1}{2}\) cups, is not up to the \(7\frac{1}{2}\) cups required,
therefore; The \(\underline{5\frac{1}{2}}\) 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:
\(The \ serving \ size = \dfrac{5\frac{1}{2} \ cups}{10 \ serving} = \dfrac{11}{20} \ cups/serving\)
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 = \(7\frac{1}{2}\) cups - \(5\frac{1}{2}\) cups = 2 cups
She needs 2 more cups of trail mix for the serving size of 3/4 cups.
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