It is worked out that if 3 ladles full of soup are given to each person,
160 people can be fed.
The customers have complained in the past that the portions are too small.
The cook decides to give 5 ladles full of soup to each person.
How many people can now be fed soup?

We need to first figure out how many ladles are being given out. To do that, we multiply the portion by the people. That's 3 * 160, which is 480 total ladles of soup.

Now, how many people can be fed if the each get 5 ladles from 480 total ladles? To do that we divide the supply by the people. That's 480 / 5 = 96 people.

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.