Question
A school district needs to purchase new laptops for all its students. They have a budget of \( \$ 76,245 \) and plan to buy laptops that cost \( \$ 92 \) each. How many laptops can the school district purchase with their budget? How much money will be left over? Express the leftover amount as a fraction of the cost of one laptop. NSO.2.2 * *
Ask by Mcdonald Clark. in the United States
Feb 27,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The school district can buy 828 laptops and will have \$69 left, which is 3/4 of the cost of one laptop.
Solution
To solve the problem, we first determine how many laptops can be bought. Divide the total budget by the cost of one laptop:
Number of laptops = 76,245 ÷ 92
Performing the division, we see that 92 goes into 76,245 a total of 828 times (since 92 × 828 = 76,176).
Next, calculate the leftover amount:
Leftover money = 76,245 – 76,176 = 69 dollars
To express this leftover as a fraction of the cost of one laptop, write:
Leftover fraction = 69/92
We can simplify this fraction by noting that both 69 and 92 are divisible by 23:
69 ÷ 23 = 3 and 92 ÷ 23 = 4
Thus, the fraction simplifies to 3/4.
So, the school district can purchase 828 laptops and will have 69 dollars left over, which is equivalent to 3/4 of the cost of one laptop.
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Simplify this solution Mind Expander
The school district can purchase \( \frac{76,245}{92} \) laptops, which is approximately 827 laptops. To find out how much money will be left over, we calculate the total cost for 827 laptops: \( 827 \times 92 = 76,084 \). Now, subtract this from the total budget: \( 76,245 - 76,084 = 161 \). So, the leftover amount is \( 161 \), which as a fraction of the cost of one laptop is \( \frac{161}{92} \). Thus, the school district can buy 827 laptops, and they will have \( \frac{161}{92} \) of a laptop's cost left over!
