Math  /  Numbers & Operations

QuestionAME DATE .esson 3 Problem-Solving Practice Multiply Fractions OOKING For Exercises 1 and 2, use the recipe for chocolate frosting. \begin{tabular}{|l|} \hline Chocolate Frosting Recipe \\ \hline13\frac{1}{3} cup butter \\ 2 ounces melted unsweetened chocolate \\ 2 cups powdered sugar \\ 12\frac{1}{2} teaspoon vanilla \\ 2 tablespoons milk \\ \hline \end{tabular}
Georgia wants to cut the recipe for chocolate frosting in half for a small cake that she is making. How much of each ingredient will shenced?
2. Suppose Georgia wanted to double the recipe; what would be the measurements for each ingredient?
8. COMPUTERS One fifth of today's collego students began using computops between the ages of 5 and 8. If a college has 3,500 students, how many of the students began using computers between the ages of 5 and 8 ?
5. ANIMALS Catherine walks her dog 34\frac{3}{4} mile every day. How far does she walk each week?
4. EXERCISE A paper published in a medical journal reported that about. 1125\frac{11}{25} of girls ages 16 to 17 do not exercise at all. The entire study consisted of about 2,500 girls. About how many did not exercise? 1125×25001=2750025=1100\frac{11}{25} \times \frac{2500}{1}=\frac{27500}{25}=1100
6. MUSIC If you practice a musical instrument each day for 23\frac{2}{3} of an hour, how many hours of practice will you got in aach weok? \%

Studdy Solution

STEP 1

1. Georgia wants to adjust the chocolate frosting recipe by either halving or doubling it.
2. We need to calculate the adjusted amounts for each ingredient for both scenarios.
3. We need to solve additional problems involving fractions and multiplication.

STEP 2

1. Halve the chocolate frosting recipe.
2. Double the chocolate frosting recipe.
3. Calculate the number of college students who began using computers between the ages of 5 and 8.
4. Calculate the total distance Catherine walks her dog each week.
5. Calculate the number of girls who do not exercise.
6. Calculate the total hours of music practice each week.

STEP 3

To halve the chocolate frosting recipe, divide each ingredient by 2.
- Butter: 13÷2=16\frac{1}{3} \div 2 = \frac{1}{6} cup - Melted unsweetened chocolate: 2÷2=12 \div 2 = 1 ounce - Powdered sugar: 2÷2=12 \div 2 = 1 cup - Vanilla: 12÷2=14\frac{1}{2} \div 2 = \frac{1}{4} teaspoon - Milk: 2÷2=12 \div 2 = 1 tablespoon

STEP 4

To double the chocolate frosting recipe, multiply each ingredient by 2.
- Butter: 13×2=23\frac{1}{3} \times 2 = \frac{2}{3} cup - Melted unsweetened chocolate: 2×2=42 \times 2 = 4 ounces - Powdered sugar: 2×2=42 \times 2 = 4 cups - Vanilla: 12×2=1\frac{1}{2} \times 2 = 1 teaspoon - Milk: 2×2=42 \times 2 = 4 tablespoons

STEP 5

Calculate the number of students who began using computers between the ages of 5 and 8.
15×3500=35005=700\frac{1}{5} \times 3500 = \frac{3500}{5} = 700

STEP 6

Calculate the total distance Catherine walks her dog each week.
34×7=214=5.25 miles\frac{3}{4} \times 7 = \frac{21}{4} = 5.25 \text{ miles}

STEP 7

Calculate the number of girls who do not exercise.
1125×2500=2750025=1100\frac{11}{25} \times 2500 = \frac{27500}{25} = 1100

STEP 8

Calculate the total hours of music practice each week.
23×7=143=4.67 hours4 hours and 40 minutes\frac{2}{3} \times 7 = \frac{14}{3} = 4.67 \text{ hours} \approx 4 \text{ hours and 40 minutes}

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