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How to Calculate the Number of Guests Served with 15 Pounds of Chocolate (5/8 Pounds per Guest)
Mathematics
Grade 6 of Primary School
Question Content
It is estimated that each guest at a party will eat 5/8 pounds of chocolates. How many guests can be served with 15 pounds of chocolate?
Correct Answer
24 guests
Detailed Solution Steps
1
Step 1: Understand the problem. We know the total amount of chocolate is 15 pounds, and each guest eats 5/8 pounds. We need to find the number of guests, which is calculated by dividing the total chocolate by the amount each guest eats.
2
Step 2: Set up the division equation: Number of guests = Total chocolate ÷ Chocolate per guest = 15 ÷ (5/8).
3
Step 3: When dividing by a fraction, multiply by its reciprocal. So 15 ÷ (5/8) = 15 × (8/5).
4
Step 4: Calculate the product: 15 × (8/5) = (15÷5) × 8 = 3 × 8 = 24.
Knowledge Points Involved
1
Division of Whole Numbers by Fractions
This operation involves multiplying the whole number by the reciprocal of the fraction. The reciprocal of a fraction a/b is b/a. It is used to find how many groups of the fractional amount fit into the whole quantity, which is common in real-world scenarios like resource allocation.
2
Reciprocal of a Fraction
The reciprocal of a non-zero fraction is obtained by swapping its numerator and denominator. For example, the reciprocal of 5/8 is 8/5. Reciprocals are used to convert division by fractions into multiplication, making calculations easier.
3
Real-World Fraction Application
This refers to using fraction operations to solve practical problems, such as calculating the number of servings from a total quantity. It requires translating real-life situations into mathematical equations and applying the correct arithmetic operations.
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