A grocery store has 10 kilograms of granola. One customer buys 1 2/5 kilograms of granola. Another customer buys 3 4/5 kilograms. How much granola is left in the store?
Understand the Problem
The question is asking how much granola is left in the store after two customers make their purchases. The approach involves subtracting the amount of granola purchased by both customers from the initial amount of granola in the store.
Answer
The amount of granola left in the store is $4.8$ kilograms.
Answer for screen readers
The amount of granola left in the store is $4.8$ kilograms.
Steps to Solve
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Identify the initial amount of granola The grocery store starts with 10 kilograms of granola.
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Convert the purchases into improper fractions
- The first customer buys $1 \frac{2}{5}$ kilograms.
- To convert this mixed number into an improper fraction: $$ 1 \frac{2}{5} = \frac{5 \cdot 1 + 2}{5} = \frac{7}{5} $$
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Calculate the second customer's purchase as a fraction The second customer buys $3 \frac{4}{5}$ kilograms.
- Convert this mixed number into an improper fraction: $$ 3 \frac{4}{5} = \frac{5 \cdot 3 + 4}{5} = \frac{19}{5} $$
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Add the purchases together To find the total granola purchased: $$ \frac{7}{5} + \frac{19}{5} = \frac{7 + 19}{5} = \frac{26}{5} $$
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Convert the total purchased into kilograms
- The total purchased in kilograms is: $$ \frac{26}{5} \text{ kg} = 5.2 \text{ kg} $$
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Subtract the total purchased from the initial amount To find how much granola is left in the store: $$ 10 - 5.2 = 4.8 $$
The amount of granola left in the store is $4.8$ kilograms.
More Information
This problem involves basic operations with fractions and requires converting mixed numbers to improper fractions to perform the addition. Starting with an initial amount and deducting the total purchases gives the final remaining quantity.
Tips
- Mixing up the addition of fractions and not having a common denominator.
- Forgetting to convert mixed numbers correctly into improper fractions.
- Failing to properly subtract decimals from whole numbers.
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