Sydney made 107 cupcakes. She kept 27 cupcakes, and then divided the remaining cupcakes among 8 classmates so that each classmate got c cupcakes.

Question

How did Sydney split up the cupcakes she made?

After she kept 27 cupcakes, she divided the rest equally among 8 of her classmates.

She divided the 107 total cupcakes equally among 8 of her classmates.

She kept 107 cupcakes, and then each classmate got 27 cupcakes.
Nice!
Label the tape diagram to represent this situation so that each classmate gets c cupcakes.

107

27

c

c

c

c

c

c

c

c
Sydney
Good work!
What does c represent in the tape diagram?
107
27
c
c
c
c
c
c
c
c
Sydney

The number of cupcakes Sydney is giving to each of her 8 classmates

The number of cupcakes Sydney is keeping

The total number of cupcakes Sydney is giving away
Excellent
c represents the number of cupcakes Sydney gave to each of her 8 classmates. What is the value of c?
107
27
c
c
c
c
c
c
c
c
Sydney
c=

Answer 1

To find the value of \( c \), we first need to determine how many cupcakes Sydney distributed to her classmates after keeping 27 for herself.

1. Total cupcakes made: 107

2. Cupcakes Sydney kept: 27

3. Cupcakes remaining for distribution:

   \[ 107 - 27 = 80 \]

4. Cupcakes each classmate receives (divided among 8 classmates):

   \[ c = \frac{80}{8} = 10 \]

Therefore, the value of \( c \) is 10. Each classmate received 10 cupcakes.