Question

Sura and Rigatoni were both in a baking class. Sura baked 90 oatmeal cookies and baked one batch of chocolate chip cookies. Rigatoni baked five batches of chocolate chip cookies and an additional 10 oatmeal cookies. If they both made the same number of total cookies, how many cookies were in a single batch of chocolate chip cookies?

A) 10
B) 15
C) 20
D) 25

Answer 1

Sura and Rigatoni baked an equal number of cookies. By setting up an equation using 'x' to represent the number of cookies in a batch, it was found that there were 20 cookies in a single batch of chocolate chip cookies.

Step-by-step explanation:

The content loaded question involves a mathematical problem where Sura baked 90 oatmeal cookies and a single batch of chocolate chip cookies, while Rigatoni baked five batches of chocolate chip cookies along with an additional 10 oatmeal cookies. The problem states that the total number of cookies baked by both Sura and Rigatoni are equal. To find out how many cookies were in a single batch of chocolate chip cookies, we need to set up an equation. Let's denote the number of cookies in a single batch of chocolate chip cookies as 'x'.

So, for Sura, the total number of cookies is 90 (oatmeal) + x (chocolate chip).

For Rigatoni, the total number is 10 (oatmeal) + 5x (chocolate chip), since he baked five batches.

According to the problem, these two totals are equal:

• 90 + x = 10 + 5x

Now, we will solve for 'x':

• x = (90 - 10) / (5 - 1)
• x = 80 / 4
• x = 20

Therefore, there were 20 cookies in a single batch of chocolate chip cookies.