A recipe for lemonade calls for 1/2 cup water to every 1/3 cup lemon juice. If you increase the recipe and use 1 1/2 cups lemon juice, how much water should you use?

2¹/₄ cups of water

Step-by-step explanation:

The formula calls for water and lemon juice to be mixed in the ratio:

1/2   :    1/3

If the quantity of lemon juice increases to 1 1/2 which is 3/2 then you can find the quantity of water required using direct proportion:

1/2            :             1/3

x               :             3/2

Cross multiply to get:

1/3 x = 3/4

x = 3/4 ÷ 1/3

x = 3/4 * 3/1

x = 9/4

x = 2¹/₄ cups of water

answer: 43/157

this is the answer and if you try to prove me wrong your a meanie

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions