Question

you are packaging expansion packs for the game of checkers. the table below lists the number of each part needed per expansion pack, as well as the number of each part that you have available.
part number in each pack number available
people marker 6 287
6 - sided die 3 143
teleporter marker 7 341
you make as many expansion packs as you can. with the parts remaining, you could make 1 more expansion pack if you had
a 1 more people marker and 1 more die.
b 1 more die and 1 more teleporter marker.
c 1 more teleporter marker and 1 more people marker.
d 2 more people markers.
e 2 more teleporter markers.
option a
option b
option c
option d
option e

Explanation:

Step1: Calculate number of packs per part

For people - marker: $\lfloor\frac{287}{6}
floor = 47$ (using integer - division to find the number of full packs we can make), remainder $287\bmod6 = 5$.
For 6 - sided die: $\lfloor\frac{143}{3}
floor = 47$, remainder $143\bmod3 = 2$.
For teleporter marker: $\lfloor\frac{341}{7}
floor = 48$, remainder $341\bmod7 = 5$.

Step2: Analyze remaining parts

The limiting parts for making packs are the people - marker and the 6 - sided die. We have made 47 packs. For people - marker, we need $6 - 5=1$ more. For 6 - sided die, we need $3 - 2 = 1$ more.

Answer:

A. 1 more people marker and 1 more die