The Sweet Surprise Bake Shop sold slices of cake at the arts festival last weekend. Each cake was cut into eight slices. They sold 2 1/4 chocolate cakes, 2 1/2 red velvet cakes, 3/4 of a carrot cake and 3 1/2 sugar cream cakes. Which statement tells the total number of cakes they sold and explains how the total can be calculated?
The total number of cakes sold can be calculated by adding the number of each type of cake sold. The statement "The Sweet Surprise Bake Shop sold 2 1/4 chocolate cakes, 2 1/2 red velvet cakes, 3/4 of a carrot cake, and 3 1/2 sugar cream cakes" tells us the quantities of each type of cake sold.
The total number of cakes sold can be calculated by adding the number of each type of cake sold.
They sold:
2 1/4 chocolate cakes
2 1/2 red velvet cakes
3/4 of a carrot cake
3 1/2 sugar cream cakes
To calculate the total number of cakes sold, we can convert the fractions to a common denominator and sum them up.
2 1/4 = 9/4
2 1/2 = 5/2
3/4 = 3/4
3 1/2 = 7/2
Adding all the fractions together:
9/4 + 5/2 + 3/4 + 7/2 = 9/4 + 10/4 + 3/4 + 14/4
= 36/4 = 9 cakes
Therefore, the total number of cakes they sold is 9.