Owen is making lemonade from concentrate. the number of quarts of water he needs is
4
times the number of quarts of concentrate. how many quarts of water and how many quarts of concentrate does owen need to make
100
quarts of lemonade

X=quarts of water

Y=quarts of concentrate

Y=20 quarts of concentrate, X=80 quarts of water

Step-by-step explanation:

X=quarts of water

Y=quarts of concentrate

So X=4Y and water and concentrate make the lemonade so X+Y = quarts of lemonade

Then we have X=4Y and X+Y=100. Hence

X+Y=100 → 4Y+Y=100 → 5Y=100→ Y=20 quarts of concentrate → X=80 quarts of water

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.