Arecipe calls for 1 1/2 cups of sugar for a 3 pound cake. how many cups of sugar should be used for a 5 pound cake?

7 1/2 cups

Step-by-step explanation:

Write and solve an equation of ratios to answer this question:

Sugar          Cake weight

1 1/2 cups            3 lb

 =  

      x                     5 lb

Then, after cross-multiplying, we get:

3x = (3/2)(5), or 3x = 15/2, or x = 7/2

A 5 lb cake requires 7/2 (or 7 1/2) cups of sugar.

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