Shaquira is baking cookies to put in packages for a fundraiser. shaquira has made 86 chocolate chip cookies and 42 sugar cookies. shaquira wants to create identical packages of cookies to sell, and she must use all of the cookies. what is the greatest number of identical packages that shaquira can make?

2

Step-by-step explanation:

To be able to find the greatest number of identical packages that Shaquira will be able to make, we first need to find the prime factors of the Chocolate Chip Cookies and Sugar Cookies.

86 Chocolate Chip Cookies

42 Sugar Cookies

Let's take the 86 Chocolate Chip Cookies first.

or 86 = 2 x 43

Now let's take the Sugar Cookies.

or

42 = 2 x 3 x 7

Now that we have the prime factors, we then look for the Greatest Common Factor between the sets of prime factors.

2 x 3 x 7 = 42

2 x 43     = 86

2  = Total number of identical packages.

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