Coocjies cost $1.50 each and gallons of milk cost $6.00 each.Grover plans to buy 8 cookies.If he can spend no more $30,gow many cartons of milk can he buy?

He can buy no more than 3 gallons

Step-by-step explanation:

Let c = cookies and m = milk

1.5c + 6m

This is how much he is going to spend

it must be less than or equal to 30

1.5c + 6m≤ 30

He is going to buy 8 cookies

1.5*8 + 6m≤ 30

12 + 6m ≤ 30

Subtract 12 from each side

12+6m -12 ≤ 30-12

6m ≤ 18

Divide by 6

6m/6 ≤ 18/6

m≤ 3

Let us assume the larger number = x
Let us assume the smaller number = y
Then
x + y = 3 3/4
x + y = 15/4
And
x/3 = (2y/3) + 1/2
x = [3 * (2y/3)] + (3/2)
  = 2y + (3/2)
Now putting the value of x from the second equation to the first , we get
x + y = 15/4
2y + (3/2) + y = 15/4
3y = (15/4) - (3/2)
3y = (15 - 6)/4
3y * 4 = 9
12y = 9
y = 9/12
   = 3/4
Now putting the value of y in the first equation, we get
x + y = 15/4
x + (3/4) = (15/4)
x = (15/4) - (3/4)
   = (15 - 3)/4
   = 12/4
   = 3
So the value of x or the larger number is 3 and the value of y or the smaller number is 3/4.