1. Jaron is downloading a file. The size of the file is 3200 KB. It takes 3 minutes to download the first 1200KB of the file. If the file continues downloading at the same rate, how many more minutes will it take to finish downloading? 2. Jacob is selling t-shirts at a music festival. Yesterday, he sold 51 shirts and earned $191.25. How many shirts must Jacob sell today and tommorw to earn a total of $536.25 for all three days?
3 / (12/32) = 8
So, 5 more minutes
(536.25-191.25)÷(191.25/51) = 92 shirts
92
1. To find out how many more minutes it will take to finish downloading the file, we can first calculate the download speed. We know that it took 3 minutes to download the first 1200KB of the file, so the speed is 1200KB / 3 minutes = 400KB/minute.
Next, we need to find out how much more of the file there is to download. The total size of the file is 3200KB, and we already downloaded 1200KB, so there are 3200KB - 1200KB = 2000KB left to download.
To calculate how long it will take to download the remaining file, we divide the remaining file size by the download speed: 2000KB / 400KB/minute = 5 minutes.
Therefore, it will take 5 more minutes to finish downloading the file.
2. To find out how many shirts Jacob must sell today and tomorrow to earn a total of $536.25 for all three days, we need to subtract the amount he earned yesterday ($191.25) from the total amount he wants to earn ($536.25).
So, the remaining amount Jacob needs to earn is $536.25 - $191.25 = $345.
Since the total number of shirts he sold yesterday was 51, we can assume that the number of shirts he sells each day is constant.
To calculate how much Jacob earns per shirt, we divide the remaining amount he needs to earn ($345) by the number of shirts sold yesterday (51): $345 / 51 shirts = $6.76 per shirt.
Now, to find out how many shirts Jacob must sell today and tomorrow to earn the remaining amount, we divide the remaining amount ($345) by the earnings per shirt ($6.76): $345 / $6.76 per shirt ≈ 51.18.
Since Jacob cannot sell a fraction of a shirt, he needs to sell at least 52 more shirts to reach his goal earnings for all three days.