Answer:
Part 1) 11/12 cups of sugar
Part 2) Each person will get 1 1/4 pounds of candy
Explanation:
Part 1) we know that
To find out how many cups of sugar is required, adds the cups of sugar for the flour and the cups of sugar for the meringue topping
so
![(2)/(3)+(1)/(4)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/p94dyvwms1hsin1o7np4rsf0j6k1xy995q.png)
Find the LCD
LCD=(3)(4)=12
![(2)/(3)+(1)/(4)=(4*2+3*1)/(12)=(11)/(12) \ cups](https://img.qammunity.org/2021/formulas/mathematics/middle-school/1j48pqvp3l2wsrbucmyu39t14zftg7s4y6.png)
Part 2) we know that
To split 6 1/4 pounds of candy between them, divide 6 1/4 pounds by 5
so
![6(1)/(4):5](https://img.qammunity.org/2021/formulas/mathematics/middle-school/fgbfr7zqbd8fx5l0vl8mbiqsleoqdpwgpb.png)
Convert mixed number to an improper fraction
![6(1)/(4)\ lb=6+(1)/(4)=(6*4+1)/(4)=(25)/(4)\ lb](https://img.qammunity.org/2021/formulas/mathematics/middle-school/szbfhloljrviuvct3oq1v9h42sbp5g8665.png)
substitute
![(25)/(4):5=(25)/(20)\ lb](https://img.qammunity.org/2021/formulas/mathematics/middle-school/lrjrf9eupso4mwv510i90a72w5zuqu84yu.png)
simplify
![(5)/(4)\ lb= (4)/(4)+(1)/(4)=1(1)/(4)\ lb](https://img.qammunity.org/2021/formulas/mathematics/middle-school/p212tntoq6iqo7dacy1j104qzzmuri2l0g.png)
therefore
Each person will get 1 1/4 pounds of candy