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.

Question

a) Which equation can be used to represent how many cookies (c
) and cakes (k
) were sold?

b) If the community center sold a total of 36 cakes, how many cookies did they sell?
cookies were sold.

Answer 1

To represent the situation with equations, let's break it down:

a) The total amount raised from cookies and cakes can be represented by the equation: \[ 2c + 10k = 800 \] where \(c\) is the number of cookies sold and \(k\) is the number of cakes sold.

b) If the community center sold a total of 36 cakes, we can substitute \(k = 36\) into the equation to find the number of cookies sold:

\[ 2c + 10(36) = 800 \] Calculating \(10 \times 36\): \[ 2c + 360 = 800 \] Now, subtract 360 from both sides: \[ 2c = 800 - 360 \] \[ 2c = 440 \] Now, divide both sides by 2 to solve for \(c\): \[ c = \frac{440}{2} = 220 \]

Therefore, the community center sold 220 cookies.