Sarah spent 1 5 of her money on a bag and 1/2 of the remainder on a shirt. What fraction of her money did she spend on the two items? Express your answer in the simplest form

Answer 1

If Sarah spent 1/5 of her money on a bag, she had 4/5 of her money left, because:

1 - 1/5 = 5/5 - 1/5 = 4/5

Then she spent 1/2 of the remainder on a shirt. Since the remainder was 4/5 of her original amount, spending 1/2 of it on a shirt is:

(1/2) * (4/5) = 4/10 or 2/5

To find the total fraction of her money spent on the two items, we add the fractions of the money spent on the bag and shirt together:

Spent on bag: 1/5
Spent on shirt: 2/5

Total spent = 1/5 + 2/5 = 3/5

Sarah spent a total of 3/5 of her money on the two items.