Answer :
Jane bought 18 bottles of wine in total. She kept 3 for herself and sold 15, making a profit of $17 on each of the 15 bottles.
Jane bought a case of wine for $345, kept three bottles for herself, and sold the rest for $480, making a profit of $17 on each bottle sold. There were 18 bottles in the case.
The correct approach is to find the factors of $345 and $480 that are 3 bottles apart since Jane kept three bottles.
The factors of $345 are 1, 3, 5, 7, 15, 21, 23, 35, 45, 49, 69, 77, 115, 147, and 345.
The factors of $480 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, and 480.
The common factors are 1, 3, 5, and 15. Since Jane made a profit on each bottle sold, the number of bottles sold must be more than the number of bottles she kept. Therefore, the number of bottles Jane could have bought and sold must be a factor of $480 that is 3 more than a factor of $345.
The only factor of $480 that is 3 more than a factor of $345 is 18, since 15 (a factor of $345) + 3 = 18 (a factor of $480).
Answer: 31.23
Step-by-step explanation: Jane kept 3 bottles for her self and then sold the rest for 17 $ each and the amount of money she made off of selling the rest of the bottles was 480$ and if you divide 480 by 17 you get 28.23 bottles sold and the extra 3 she kept for herself I am not 100% sure.
