MATH SOLVE

3 months ago

Q:
# 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.

Accepted Solution

A:

Answer:Part a) and Part b) see the explanationStep-by-step explanation:Part a) Illustrate both girls’ solutionsCarlyCarly gives each child 2 whole cereal bars and then divides the remaining cereal bar among the 3 childrenso1) Each child receive first 2 whole cereal barsthe remaining is [tex]7-(2+2+2)=7-6=1\ cereal\ bar[/tex]2) Divides the remaining cereal bar among the 3 childrenEach child receive 1/3 cereal bar3) Each child receive in total[tex]2+\frac{1}{3}=2\frac{1}{3}\ cereal\ bar[/tex]GinaGina divides all the cereal bars into thirds and shares the thirds equally among the 3 children.so1) Divide the total bars by 3Each child receive [tex]\frac{7}{3}\ cereal\ bar[/tex]Part b) Explain why they are both rightCompare the resultsCarly ----> [tex]2\frac{1}{3}\ cereal\ bar[/tex]Gina ----> [tex]\frac{7}{3}\ cereal\ bar[/tex]Convert mixed number to decimal number[tex]2\frac{1}{3}\ cereal\ bar=2+\frac{1}{3}=\frac{2*3+1}{3}=\frac{7}{3}\ cereal\ bar[/tex]so [tex]2\frac{1}{3}\ cereal\ bar=\frac{7}{3}\ cereal\ bar[/tex]thereforeCarly and Gina are right