Shop A sold 1,054 baseball caps. Shop B sold 3 times as many baseball caps as Shop A. How many baseball caps did Shop B sell?
Understand the Problem
The question is asking about the number of baseball caps sold by Shop B, given that Shop A sold 1,054 caps and Shop B sold three times as many. To solve it, we will need to multiply the number of caps sold by Shop A by three.
Answer
Shop B sold $3,162$ baseball caps.
Answer for screen readers
Shop B sold 3,162 baseball caps.
Steps to Solve
- Identify the number of caps sold by Shop A
Shop A sold 1,054 baseball caps. This is our starting point.
- Determine the relationship between Shop A and Shop B
Shop B sold three times as many caps as Shop A. Thus, we will multiply the number of caps sold by Shop A by 3.
- Calculate the number of caps sold by Shop B
To find the number of caps sold by Shop B, we calculate:
$$ \text{Caps sold by Shop B} = 3 \times \text{Caps sold by Shop A} $$
Substituting the known value:
$$ \text{Caps sold by Shop B} = 3 \times 1,054 $$
- Perform the multiplication
Now, we perform the multiplication:
$$ 3 \times 1,054 = 3,162 $$
Shop B sold 3,162 baseball caps.
More Information
This problem demonstrates basic multiplication and understanding of ratios, useful for comparing quantities. By asserting that Shop B's sales are three times those of Shop A, we establish a clear mathematical relationship that can be applied in different contexts.
Tips
- Forgetting to multiply appropriately: Some might forget the factor of 3 and either add or incorrectly multiply.
- Misreading the problem: Ensure to understand that "three times as many" indicates multiplication, rather than addition.
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