Question

4. Ava made 1/3 of the cookies needed for thefamily reunion, Skylar made 2/5 of the cookiesneeded and Jared and Jackson evenly split theremaining cookies that needed to be made.Altogether there were 360 cookies needed for thereunion. How many more cookies did Skylar makethan Jackson?

Answer 1

96 cookies

Step-by-step explanation

Step 1

find the numbers of cookies ave and skylar made

to do that, multiply the fracion by the total , so

a)

Ava media 1/3 of the cookies, so

`\begin{gathered} \text{Ava} \\ (1)/(3)\cdot360=120 \end{gathered}`

hence

Ava made 120 cookies

b) Skylar made 2/5 of the cookies, so

`\begin{gathered} \text{Skylar} \\ (2)/(5)\cdot360=(720)/(5)=144 \end{gathered}`

therefore

Skylar made 144 cookies

Step 2

Jared and Jackson evenly split the remaining cookies that needed to be made

a) find the total of remaining cookies

`\begin{gathered} \text{remaining cookies= total -ava-skylare} \\ \text{remaining cookies=}360-120-144=96 \end{gathered}`

so, the reamining cookies is 96

b) Jared and Jackson made teh same number of cookies, so

`\text{jared}=\text{ jackson= }(96)/(2)=48`

so, Jackson made 48 cookies

c) finally, to know How many more cookies skyler made

than Jackson?

let

diffrence= skylar-jackson

replacing

`\begin{gathered} \text{difference}=\text{ 144-48} \\ \text{difference}=96 \end{gathered}`

so, the anwer is

96 cookies

x