Horton Mullins
08/26/2024 · Primary School
A bakery sells six cookies for every one cake. Yesterday the store sold 154 cookies and cakes combined. How many cakes were sold?
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Tutor-Verified Answer
Step-by-step Solution
Let the number of cakes sold be \( x \). Since the bakery sells six cookies for every one cake, the number of cookies sold can be expressed as \( 6x \).
According to the problem, the total number of cookies and cakes sold is 154. Therefore, we can set up the following equation:
\[
6x + x = 154
\]
Combining the terms on the left side gives:
\[
7x = 154
\]
To find \( x \), divide both sides by 7:
\[
x = \frac{154}{7} = 22
\]
Thus, the number of cakes sold is \( \boxed{22} \).
To verify, we can calculate the number of cookies sold:
\[
6x = 6 \times 22 = 132
\]
Now, adding the number of cookies and cakes sold:
\[
132 + 22 = 154
\]
The total matches the given information, confirming that the solution is correct. The number of cakes sold is indeed \( \boxed{22} \).
Quick Answer
The number of cakes sold is 22.
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