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A confectioner decides to sell all of his pastry due to the coming holiday. His pastry goods are equally divided among a group of 28 regular customers. If only 49 customers come to the bakery, each one will receive 6 less pastry goods. How much pastry does the confectioner needs to sell?
- a)392
- b)412
- c)432
- d)502
- e)522
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
A confectioner decides to sell all of his pastry due to the coming hol...
The best answer is A.
You can use the answers to back-solve the question or you could write the equations.
Take 392 pastry goods and divide them by 28 customers, each one will receive 14 products.
If there were 49 customers, each one would receive (392/49 = 8), which is 6 less.
Take 392 pastry goods and divide them by 28 customers, each one will receive 14 products.
If there were 49 customers, each one would receive (392/49 = 8), which is 6 less.
Most Upvoted Answer
A confectioner decides to sell all of his pastry due to the coming hol...
Given:
- The confectioner decides to sell all of his pastry due to the coming holiday.
- His pastry goods are equally divided among a group of 28 regular customers.
- If only 49 customers come to the bakery, each one will receive 6 fewer pastry goods.
To find:
- How much pastry does the confectioner need to sell?
Let's solve this step by step:
Step 1: Determine the initial number of pastry goods
- The pastry goods are equally divided among 28 regular customers.
- Therefore, the initial number of pastry goods = 28 * (some unknown value) = 28x (let's assume)
Step 2: Determine the number of pastry goods each customer receives if only 49 customers come
- If only 49 customers come, each customer will receive 6 fewer pastry goods.
- Therefore, the number of pastry goods each customer receives = 28x - 6
Step 3: Set up an equation based on the given information
- According to the question, the pastry goods are equally divided among 49 customers.
- Therefore, the total number of pastry goods = 49 * (number of pastry goods each customer receives)
- Substituting the value from Step 2, we get: 28x = 49 * (28x - 6)
Step 4: Solve the equation
- Expanding the equation, we get: 28x = 49 * 28x - 294
- Bringing like terms together, we get: 28x - 49 * 28x = -294
- Simplifying, we get: -20x = -294
- Dividing both sides by -20, we get: x = 14.7
Step 5: Determine the total number of pastry goods the confectioner needs to sell
- The total number of pastry goods = 28x = 28 * 14.7 = 411.6
Since the confectioner cannot sell fractional pastry goods, the confectioner needs to sell 412 pastry goods.
Therefore, the correct answer is option 'A' (412).
- The confectioner decides to sell all of his pastry due to the coming holiday.
- His pastry goods are equally divided among a group of 28 regular customers.
- If only 49 customers come to the bakery, each one will receive 6 fewer pastry goods.
To find:
- How much pastry does the confectioner need to sell?
Let's solve this step by step:
Step 1: Determine the initial number of pastry goods
- The pastry goods are equally divided among 28 regular customers.
- Therefore, the initial number of pastry goods = 28 * (some unknown value) = 28x (let's assume)
Step 2: Determine the number of pastry goods each customer receives if only 49 customers come
- If only 49 customers come, each customer will receive 6 fewer pastry goods.
- Therefore, the number of pastry goods each customer receives = 28x - 6
Step 3: Set up an equation based on the given information
- According to the question, the pastry goods are equally divided among 49 customers.
- Therefore, the total number of pastry goods = 49 * (number of pastry goods each customer receives)
- Substituting the value from Step 2, we get: 28x = 49 * (28x - 6)
Step 4: Solve the equation
- Expanding the equation, we get: 28x = 49 * 28x - 294
- Bringing like terms together, we get: 28x - 49 * 28x = -294
- Simplifying, we get: -20x = -294
- Dividing both sides by -20, we get: x = 14.7
Step 5: Determine the total number of pastry goods the confectioner needs to sell
- The total number of pastry goods = 28x = 28 * 14.7 = 411.6
Since the confectioner cannot sell fractional pastry goods, the confectioner needs to sell 412 pastry goods.
Therefore, the correct answer is option 'A' (412).
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A confectioner decides to sell all of his pastry due to the coming holiday. His pastry goods are equally divided among a group of 28 regular customers. If only 49 customers come to the bakery, each one will receive 6 less pastry goods. How much pastry does the confectioner needs to sell?a)392b)412c)432d)502e)522Correct answer is option 'A'. Can you explain this answer?
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