Stella worked for two hour. She spent 1/3 of her time doing laundry, 1/4 of her time cleaning, and the rest of her time working in the yard. How much time did she spent in the yard?

Question

Gianna Caruso · Accepted Answer

#50# minutes or #5/6# hour

2 hours = 120 minutes. #1/3xx120=40# mins (doing laundry) #1/4xx120=30# mins (cleaning) Time Stella spent in the yard #=120-40-30=50# mins #50# mins = #50/60# hour #=5/6# hour.

Aurora Arias · Answer

50 minutes working in the yard

All the time available is #color(green)(color(red)(1)xx2" hours")# Laundry time is #color(white)("dd")color(red)(1/3)color(green)(xx2" hours")# #ul("Cleaning time is "color(red)(1/4)color(green)(xx2" hours") color(red)(larr" Add the parts of time"))# #color(white)("ddddddd")color(red)((1/3+1/4))color(green)(xx2" hours")# So the time spent in the yard #=color(green)(color(red)((1-[1/3+1/4]))xx2" hours")# #color(red)(1-[(4+3)/12])# #color(red)(1-7/12" " =" " 5/12" ")# of her time in the yard '~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ The amount of time available is 2 hours. So the time in the yard is: # color(red)( 5/(cancel(12)^6))color(green)(xx cancel(2)^1" hours")larr" Cancelling out changes the numbers"# Expressing this in minutes: 1 hour is 60 minutes : #color(red)(5/(cancel(6)^1)color(green)(xx cancel(60)^10" minutes")) = 50" minutes" #

Autumn Arnold · Answer

undefined Stella spent $ \frac{1}{3} \times 2 $ hours doing laundry and $ \frac{1}{4} \times 2 $ hours cleaning. To find out how much time she spent in the yard, subtract the time she spent doing laundry and cleaning from the total time she worked (2 hours).

$$
\text{Time spent in the yard} = 2 - \left( \frac{1}{3} \times 2 + \frac{1}{4} \times 2 \right)
$$

$$
\text{Time spent in the yard} = 2 - \left( \frac{2}{3} + \frac{1}{2} \right)
$$

$$
\text{Time spent in the yard} = 2 - \left( \frac{4}{6} + \frac{3}{6} \right)
$$

$$
\text{Time spent in the yard} = 2 - \frac{7}{6}
$$

$$
\text{Time spent in the yard} = \frac{12}{6} - \frac{7}{6}
$$

$$
\text{Time spent in the yard} = \frac{5}{6} \text{ hours}
$$

Stella spent $ \frac{5}{6} $ of an hour working in the yard.