Let's break down the problem step-by-step to find the number of cherry muffins sold.
1. Define the variables:
- Let [tex]\( r \)[/tex] represent the number of raisin muffins sold.
- According to the problem, the number of cherry muffins sold is 3 times the number of raisin muffins. Therefore, the number of cherry muffins sold is [tex]\( 3r \)[/tex].
2. Set up the equation:
- The total number of muffins sold is given as 600.
- This total can be expressed as the sum of the raisin muffins and the cherry muffins:
[tex]\[
r + 3r = 600
\][/tex]
3. Combine like terms:
- Combine the terms on the left side of the equation:
[tex]\[
4r = 600
\][/tex]
4. Solve for [tex]\( r \)[/tex]:
- To find the number of raisin muffins, divide both sides of the equation by 4:
[tex]\[
r = \frac{600}{4}
\][/tex]
[tex]\[
r = 150
\][/tex]
5. Find the number of cherry muffins:
- Since the number of cherry muffins sold is 3 times the number of raisin muffins, we multiply [tex]\( r \)[/tex] by 3:
[tex]\[
3r = 3 \times 150
\][/tex]
[tex]\[
3r = 450
\][/tex]
6. Conclusion:
- The number of cherry muffins sold is 450.
Thus, we can write the final equation showing the relationship and solve for the number of cherry muffins:
[tex]\[
3r = 3 \times 150 = 450
\][/tex]
So, Moira's Muffins sold 450 cherry muffins last year.
