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?
answers
c+k=800
c+10k=800
2c+10k=800
2c+k=800
b) If the community center sold a total of 36 cakes, how many cookies did they sell?
_____ cookies were sold.
answers
80
72
400
220

Answer 1

a) The correct equation to represent how many cookies (c) and cakes (k) were sold based on the amount of money raised is:

2c + 10k = 800

This equation accounts for the fact that cookies were sold for $2 each and cakes for $10 each.

b) If the community center sold a total of 36 cakes (k = 36), we can substitute this value into the equation from part (a):

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

Calculating that gives:

\[ 2c + 360 = 800 \]

Now, subtract 360 from both sides:

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

Now, divide by 2:

\[ c = 220 \]

Thus, 220 cookies were sold.