Question

Carly and Gina read the following problem in their math class:

Seven cereal bars were shared equally by 3 children. How much did each child receive?

Carly and Gina solve the problem differently. Carly gives each child 2 whole cereal bars and then divides the remaining cereal bar among the 3 children. Gina divides all the cereal bars into thirds and shares the thirds equally among the 3 children.

a. Illustrate both girls’ solutions.
b. Explain why they are both right.

Answer 1

Answer:

Part a) and Part b) see the explanation

Step-by-step explanation:

Part a)  Illustrate both girls’ solutions

Carly

Carly gives each child 2 whole cereal bars and then divides the remaining cereal bar among the 3 children

so

1) Each child receive first 2 whole cereal bars

the remaining is

$7-(2+2+2)=7-6=1\ cereal\ bar$

2) Divides the remaining cereal bar among the 3 children

Each child receive 1/3 cereal bar

3) Each child receive in total

$2+\frac{1}{3}=2\frac{1}{3}\ cereal\ bar$

Gina

Gina divides all the cereal bars into thirds and shares the thirds equally among the 3 children.

so

1) Divide the total bars by 3

Each child receive

$\frac{7}{3}\ cereal\ bar$

Part b) Explain why they are both right

Compare the results

Carly ----> $2\frac{1}{3}\ cereal\ bar$

Gina ----> $\frac{7}{3}\ cereal\ bar$

Convert mixed number to decimal number

$2\frac{1}{3}\ cereal\ bar=2+\frac{1}{3}=\frac{2*3+1}{3}=\frac{7}{3}\ cereal\ bar$

so

$2\frac{1}{3}\ cereal\ bar=\frac{7}{3}\ cereal\ bar$

therefore

Carly and Gina are right