To support a local charity a community center hosted a bake sale. Cookies were sold for $2 each and cakes were sold for $10 each. A total of $800 was raised from the bake sale. A) which equation can be used to represent how many cookies (c) and cakes (k) were sold? _

Question

B) if the community center sold a total of 36 cakes how many did they sell? _ cookies were sold
Blank A options; c + k = 800; c + 10k = 800; 2c + k = 800; 2c + 10K = 800
Blank B options; 400; 220; 72; 80

Answer 1

To solve the problem, let's go step by step:

A) Equation to represent cookies (c) and cakes (k)

Each cookie is sold for $2, and each cake is sold for $10. The total amount raised was $800.

The equation representing the total revenue from cookies and cakes can be expressed as follows:

• Revenue from cookies: \(2c\) (since each cookie is $2)
• Revenue from cakes: \(10k\) (since each cake is $10)

The total revenue equation can be represented as:

\[ 2c + 10k = 800 \]

So the correct answer for Blank A is: c + 10k = 800.

B) If 36 cakes were sold, how many cookies were sold?

Given that \(k = 36\) (cakes), we can substitute this into the total revenue equation:

\[ 2c + 10(36) = 800 \]

Calculating the revenue from the cakes:

\[ 10 \times 36 = 360 \]

Now substituting back into the equation:

\[ 2c + 360 = 800 \]

Subtracting 360 from both sides gives:

\[ 2c = 800 - 360 \] \[ 2c = 440 \]

Now, divide both sides by 2:

\[ c = 220 \]

So the community center sold 220 cookies.

Therefore, the answer for Blank B is: 220.