A school district has $184,599 to spend on new textbooks. Each textbook costs $38. If the district buys as many textbooks as it can, how much money will be left over?
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A school district has $184,599 to spend on new textbooks. Each textbook costs $38. If the district buys as many textbooks as it can, how much money will be left over?
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To find out how many textbooks the school district can buy and how much money will be left over, you can follow these steps:
1. Determine the number of textbooks that can be purchased by dividing the total amount of money by the cost of each textbook:
[
text{Number of Textbooks} = frac{184,599}{38} approx 4,866.3
]
Since the district can only buy whole textbooks, they can purchase 4,866 textbooks.
2. Calculate the total cost for 4,866 textbooks:
[
text{Total Cost} = 4,866 times 38 = 184,868
]
3. Subtract the total cost from the initial budget to find the leftover money:
[
text{Leftover Money} = 184,599 – 184,868 = -269
]
However, we need to correct this because we only had 184,599 to spend.
The calculation for spending money:
[
text{Total spent on 4,866 textbooks} = 4,866 text{ textbooks} times 38 = 184,868
]
The mistake here indicates the district cannot buy that many textbooks, as it exceeds the budget.
So:
1. Calculate the maximum number of textbooks that can be bought:
[
text{Maximum Text