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Dixie spent an average of x dollars on e...

Dixie spent an average of x dollars on each of 5 shirts and an average of y dollars on each of 3 hats. In terms of x and y, how many dollars did she spend on shirts and hats?

A

`5x+3y`

B

`15(x+y)`

C

`8xy`

D

`15xy`

Text Solution

AI Generated Solution

The correct Answer is:
To find out how much Dixie spent on shirts and hats in terms of x and y, we can break down the problem into a few simple steps. ### Step-by-Step Solution: 1. **Calculate the expenditure on shirts:** - Dixie bought 5 shirts, and the average cost of each shirt is x dollars. - Therefore, the total expenditure on shirts can be calculated as: \[ \text{Total expenditure on shirts} = 5 \times x = 5x \] 2. **Calculate the expenditure on hats:** - Dixie bought 3 hats, and the average cost of each hat is y dollars. - Therefore, the total expenditure on hats can be calculated as: \[ \text{Total expenditure on hats} = 3 \times y = 3y \] 3. **Calculate the total expenditure on shirts and hats:** - To find the total amount spent on both shirts and hats, we add the expenditures calculated in the previous steps: \[ \text{Total expenditure} = \text{Total expenditure on shirts} + \text{Total expenditure on hats} = 5x + 3y \] ### Final Answer: Thus, the total amount Dixie spent on shirts and hats is: \[ \text{Total expenditure} = 5x + 3y \]
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