It takes a woman 12 minutes to drive one way to work. She goes home for lunch 3 days each week. How much time does she spend driving to and from work each 5-day work week?
what is correct?
To calculate the total time she spends driving to and from work each 5-day work week, we need to consider the 3 days she goes home for lunch and the 2 remaining days.
For the 3 days she goes home for lunch, she drives to work in the morning (12 minutes), and then drives back home for lunch and back to work in the afternoon (12 minutes + 12 minutes). Therefore, she spends a total of 12 + 12 + 12 + 12 = 48 minutes driving on these 3 days.
For the 2 remaining days, she only drives to work in the morning (12 minutes). Therefore, she spends a total of 12 + 12 = 24 minutes driving on these 2 days.
So, in total, she spends 48 minutes + 24 minutes = 72 minutes driving to and from work each 5-day work week.
A business buys invoice forms at a cost of $4.45 a box for the first 20 boxes, $4.00 a box for the next 25 boxes, and $3.75 a box for any additional boxes. How many boxes of invoice forms can be bought for $234.00?
what is correct?
To determine the number of boxes that can be bought for $234.00, we need to calculate based on the different pricing tiers.
For the first 20 boxes, the price per box is $4.45. So the cost of these 20 boxes would be 20 * $4.45 = $89.00.
Next, we have 25 boxes at a price of $4.00 per box. The cost of these 25 boxes is 25 * $4.00 = $100.00.
So far, we have spent $89.00 + $100.00 = $189.00.
To find out how many additional boxes we can buy for the remaining amount, $234.00 - $189.00 = $45.00, we need to calculate the cost per additional box, which is $3.75.
To determine the number of additional boxes, we need to divide the remaining amount by the cost per additional box: $45.00 / $3.75 = 12.
Therefore, with the remaining $45.00, we can buy 12 additional boxes.
In total, we can buy 20 + 25 + 12 = 57 boxes of invoice forms for $234.00.
A student returned 4 overdue books to the library. The fine for each overdue book is $0.35 for the first day, $0.40 for each of the next 3 days, and $0.45 for each day after that. The total fine was $13.40. How many days overdue were the books?
what is correct?
To find out how many days overdue the books were, we need to determine the number of days for each different fine rate.
Let's assume the books were overdue for x days.
For the first day, the fine is $0.35 per book. So for 4 books, the total fine for the first day would be 4 * $0.35 = $1.40.
For the next 3 days, the fine is $0.40 per book. So for 4 books, the total fine for these 3 days would be 4 * $0.40 * 3 = $4.80.
From here on, each additional day incurs a fine of $0.45 per book. So for the remaining days (x - 4, as we have already accounted for the first day and the next 3 days), the total fine for these days would be 4 * $0.45 * (x - 4) = $1.80(x - 4).
Putting it all together, the total fine for all the days can be represented as:
$1.40 + $4.80 + $1.80(x - 4) = $13.40.
Simplifying the equation:
$7.20 + $1.80(x - 4) = $13.40,
$1.80(x - 4) = $13.40 - $7.20,
$1.80(x - 4) = $6.20.
Dividing both sides by $1.80:
x - 4 = $6.20 / $1.80,
x - 4 = 3.4444...,
x ≈ 7.4444....
Since we can't have a fraction of a day, we can conclude that the books were approximately 7 days overdue.