Question

13. Three friendsgo to the movies. They buy a large popcorn to share. They splitthe bag evenly into three smaller bags. If there are 8.2 total cups of popcorn,how many cups will there be in each of 3 bags?A. 25.4 cupsB. 11 cupsC. 5. cupsD. 2cups

Answer 1

18 3/4

Step-by-step explanation:

First, we need to convert the mixed numbers into fractions, so:

`\begin{gathered} 12(1)/(2)=((12*2)+1)/(2)=(24+1)/(2)=(25)/(2) \\ 1(1)/(2)=((1*2)+1)/(2)=(2+1)/(2)=(3)/(2) \end{gathered}`

It means that Shamika worked 25/2 hours last week and this week she worked 3/2 times the hours worked last week. So, to know the number of hours worked this week we need to multiply 25/2 by 3/2 to get:

`(25)/(2)*(3)/(2)=(25*3)/(2*2)=(75)/(4)`

Then, 75/4 as a mixed number is equal to:

`(75)/(4)=18(3)/(4)`

Because when we divide 75 by 4, we get 18 as a quotient and 3 as a remainder.

Therefore, she worked 18 3/4 hours this week.