Question

change of cookie plans
liam ended up baking 33 cookies. he kept 5 for himself and split the rest evenly between 7 friends.
a. write an equation to represent liams new situation.
b. describe what a tape diagram for liams new situation would look like

Explanation:

Step1: Define variable for friend's cookies

Let $x$ = number of cookies each friend gets.

Step2: Calculate remaining cookies

Total baked: 33, Liam keeps 5. Remaining: $33 - 5 = 28$

Step3: Set up equality for split

7 friends get $x$ each: $7x = 33 - 5$, or rearranged: $5 + 7x = 33$

Step4: Describe tape diagram structure

Total length = 33, split into 2 parts: one segment of 5, seven equal segments of $x$.

Answer:

a. $\boldsymbol{5 + 7x = 33}$ (or $\boldsymbol{7x = 33 - 5}$)
b. The tape diagram will be a single bar representing the total 33 cookies. It will be split into two distinct sections: one short segment labeled "5" (for the cookies Liam kept), followed by 7 equal, identical segments each labeled $x$ (representing the cookies each friend receives, where $x$ is the number of cookies per friend). The total length of all 8 segments combined equals 33.