A candy company puts 7 gumdrops in each bag. How many gumdrops will the company need to fill 598,512 bags?
Understand the Problem
The question is asking how many total gumdrops are needed to fill a specific number of bags, given that each bag contains a fixed amount of gumdrops. The approach to solve this involves multiplying the number of gumdrops per bag by the total number of bags.
Answer
The company will need $4,189,584$ gumdrops to fill 598,512 bags.
Answer for screen readers
The company will need $4,189,584$ gumdrops to fill 598,512 bags.
Steps to Solve
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Identify the variables The number of gumdrops per bag is 7, and the total number of bags is 598,512.
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Set up the multiplication equation To find the total number of gumdrops needed, multiply the number of gumdrops in each bag by the total number of bags: $$ \text{Total gumdrops} = \text{gumdrops per bag} \times \text{number of bags} $$
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Perform the calculation Substitute the known values into the equation: $$ \text{Total gumdrops} = 7 \times 598,512 $$
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Calculate the result Now, calculate the product: $$ \text{Total gumdrops} = 4,189,584 $$
The company will need $4,189,584$ gumdrops to fill 598,512 bags.
More Information
This problem illustrates the concept of multiplication as a means to find the total quantity when dealing with groups of identical items. The number of total gumdrops required scales with both the number of gumdrops per bag and the total bags.
Tips
- Forgetting to multiply: Ensure to multiply the correct variables (gumdrops per bag and number of bags).
- Mistakes in arithmetic: Double-check calculations to avoid arithmetic errors.
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