sabina had $200 she spent 3/5 on clothes and 3/4 of the reminder on books. she saved the rest. what fraction of her money did she spend on books. how much did she spend on books and clothes altogether. what fracion of her money didnshe save
To find the fraction of Sabina's money she spent on books, we first need to find the amount she spent on books. Let's calculate step by step:
1. Calculate the amount Sabina spent on clothes:
Sabina spent 3/5 of her $200 on clothes.
Amount spent on clothes = (3/5) * $200 = $120.
2. Calculate the remaining amount after buying clothes:
The remaining amount after buying clothes is the difference between the initial amount and the amount spent on clothes.
Remaining amount = $200 - $120 = $80.
3. Calculate the amount she spent on books:
Sabina spent 3/4 of the remaining $80 on books.
Amount spent on books = (3/4) * $80 = $60.
Now, let's find the answers to the other questions:
- The fraction of her money she spent on books:
We found that Sabina spent $60 on books. To express this as a fraction of her initial amount, divide it by $200:
Fraction spent on books = $60 / $200 = 3/10.
- The amount she spent on books and clothes altogether:
We found that Sabina spent $120 on clothes and $60 on books.
Total amount spent on books and clothes = $120 + $60 = $180.
- The fraction of her money she saved:
To find the fraction of her money saved, subtract the total amount spent on books and clothes from the initial amount, and then divide it by the initial amount:
Amount saved = $200 - $180 = $20.
Fraction saved = $20 / $200 = 1/10.
Therefore, Sabina spent 3/10 of her money on books, $180 on books and clothes altogether, and saved 1/10 of her money.