Question
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?
b) If the community center sold a total of 36 cakes, how many cookies did they sell?
cookies were sold.
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.
Answers
GPT-4o mini
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**.
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**.