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
𝑐
) and cakes (k
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
𝑐
) and cakes (k
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 solve this problem, let's break it down step-by-step.
a) We need to create an equation that represents the total amount of money raised from selling cookies and cakes.
Let:
- \( c \) = number of cookies sold
- \( k \) = number of cakes sold
The money earned from cookies is \( 2c \) (since each cookie is sold for $2) and from cakes is \( 10k \) (since each cake is sold for $10). According to the problem, the total amount raised is $800.
Therefore, the equation can be written as:
\[
2c + 10k = 800
\]
b) Now, if the community center sold a total of 36 cakes, we can substitute \( k = 36 \) into the previously derived equation.
So we substitute \( k \) into the equation:
\[
2c + 10(36) = 800
\]
Calculating \( 10(36) \):
\[
2c + 360 = 800
\]
Next, subtract 360 from both sides:
\[
2c = 800 - 360
\]
\[
2c = 440
\]
Now, divide both sides by 2 to find \( c \):
\[
c = \frac{440}{2}
\]
\[
c = 220
\]
Thus, the community center sold **220 cookies**.
a) We need to create an equation that represents the total amount of money raised from selling cookies and cakes.
Let:
- \( c \) = number of cookies sold
- \( k \) = number of cakes sold
The money earned from cookies is \( 2c \) (since each cookie is sold for $2) and from cakes is \( 10k \) (since each cake is sold for $10). According to the problem, the total amount raised is $800.
Therefore, the equation can be written as:
\[
2c + 10k = 800
\]
b) Now, if the community center sold a total of 36 cakes, we can substitute \( k = 36 \) into the previously derived equation.
So we substitute \( k \) into the equation:
\[
2c + 10(36) = 800
\]
Calculating \( 10(36) \):
\[
2c + 360 = 800
\]
Next, subtract 360 from both sides:
\[
2c = 800 - 360
\]
\[
2c = 440
\]
Now, divide both sides by 2 to find \( c \):
\[
c = \frac{440}{2}
\]
\[
c = 220
\]
Thus, the community center sold **220 cookies**.
Related Questions
To support a local charity, a community center hosted a bake sale. Cookies were sold for $2 each, an...
To support a local charity, a community center hosted a bake sale. Cookies were sold for $2 each, an...
To support a local charity, a community center hosted a bake sale. Cookies were sold for $2 each, an...
(2 points)
To support a local charity, a community center hosted a bake sale. Cookies were sold for...