Answer:
The minimum boxes of cookies is 39
Step-by-step explanation:
Let
x ----> the number of boxes of cookies sold
y ----> the number of boxes of candies sold
we know that
The word "at least" means "greater than or equal to"
so
The inequality that represent this problem is
[tex]5.25x+8.75y\geq 200[/tex]
The solution is the shaded area above the solid line [tex]5.25x+8.75y=200[/tex]
using a graphing tool
The solution is the shaded area -----> see the attached figure
Find out the minimum boxes of cookies needed to sell to reach the goal
assuming only cookies are sold
For y=0
[tex]5.25x+8.75(0)\geq 200[/tex]
[tex]5.25x\geq 200[/tex]
solve for x
[tex]x\geq 38.1[/tex]
Round up
therefore
The minimum boxes of cookies is 39
