Over the weekend, Mrs. Kingston sold slices of cake at a bake sale fundraiser for her son's soccer team. Each cake was cut into eight slices. On the first day of the sale, she sold 2


chocolate cakes, and 2

caramel cakes. On the second day, she sold

of a chocolate cake and 3

caramel cakes.

Which statement tells the total number of cakes she sold and explains how the total can be calculated?
Responses
A First, find the least common multiple and change only the denominators: 2

+ 2

+

+ 3

= 7

. Next, simplify: 7

= 8.First, find the least common multiple and change only the denominators: 2 1 8 + 2 3 8 + 3 8 + 3 1 8 = 7 8 8 . Next, simplify: 7 8 8 = 8.
B Change the fractions to make denominators common, and then add: 2

+ 2

+

+ 3

= 7

. Next, simplify: 7

= 8

.Change the fractions to make denominators common, and then add: 2 2 8 + 2 3 8 + 6 8 + 3 4 8 = 7 15 8 . Next, simplify: 7 15 8 = 8 7 8 .
C Change the numerators to 3 to make them common, and then add: 2

+ 2

+

+ 3

= 7

. Next, simplify: 7

= 7

.Change the numerators to 3 to make them common, and then add: 2 3 12 + 2 3 8 + 3 4 + 3 3 6 = 7 3 30 . Next, simplify: 7 3 30 = 7 1 10 .
D Add across the numerators and denominators first:

+

+

+

=

. Next, add whole numbers 2 + 2 + 3 = 7, then combine: 7

C

why did you choose "c"?

I chose option C because it correctly suggests changing the numerators to make them common, which is the correct approach when adding fractions. Option C also shows the correct calculations and simplifications to find the total number of cakes sold.