Question

Can you pls help me with this 2 step problem question thank you

Answer 1

We are given that Stephanie made $27 for bags of oreos, $18 selling chocolates, $45 selling chunkies.

If each bag was sold at the same price, this means that the price must be the greatest common factor of the amounts that were made. That is:

`p=\text{GCF}(27,18,45)`

Where "p" is the price, and "GCF" is Greatest Common Factor.

Now, the factors of 27 are:

`Factors\text{ 27 = }1,3,9,27`

The factors of 18 are:

`\text{Factors 18 = }1,2,3,6,9,18`

The factors of 45 are:

`\text{Factors 45 = }1,3,5,9,15,45`

Therefore, the greatest common factor is:

`\text{GCF}(27,18,45)=9`

Therefore, Stephanie charged $9 for each bag.

Part 5. The total amount she made for sugar cookies was $45, therefore, the amount she charged per bag of cookies multiplied by the number of bags of cookies she sold must be equal to m45, like this:

`9n=45`

Where "n" is the number of bags of cookies she sold. Now, we solve for "n" by dividing both sides by 9:

`\begin{gathered} n=(45)/(9) \\ \\ n=5 \end{gathered}`

Therefore. she sold 5 bags of sugar cookies.