Question

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