Ruth went to the park. She spent 1/4 of her time playing volleyball, 1/2 of her time eating, and the other hour of her time reading a book. how much time did she spend in the park?
Let t = amount of time in the park.
So, 1/4 of her time = ¼t
1/2 of her time = ½t
Equation: ¼t + ½t + 1 = t
(3/4)t + 1 = t
Subtract (3/4)t from both sides:
1 = ¼t
Multiply both sides by 4:
4 = t
The total amount of time was 4 hours.
She spent 1-1/4-1/2 = 1/4 of her time reading a book. She also spent an hour reading a book. So that means if we let x equal the total time, 1/4x=1, so x=4 hours.