Question

Briana is using part of the money she saved to buy herself some equally priced CDs. She used 20% of her money to buy 1/3 of these CDs. What fraction of her money will she have left after she buys all the CDs she planned to buy? PLS HELP

Answer 1

Briana will have 2/5 of her money left after buying all the equally priced CDs.

Step-by-step explanation:

To find out what fraction of her money Briana will have left after buying all the CDs, we need to calculate the proportion of her money spent on CDs. We are told that she used 20% of her money to buy 1/3 of the CDs. Let's break it down step by step:

1. Let's assume her savings are $x.
2. She used 20% of her money to buy 1/3 of the CDs, which means the cost of 1/3 of the CDs is 20% of $x. This can be written as (20/100) * $x.
3. Since the cost of all the CDs is equally priced, the total cost of all the CDs can be calculated by multiplying the cost of 1/3 of the CDs by 3. Therefore, the total cost of the CDs is 3 * (20/100) * $x.
4. The fraction of her money that she will have left can be calculated by subtracting the cost of the CDs from her total savings, and then dividing it by her total savings. So, the fraction can be represented as (x - 3 * (20/100) * x) / x.
5. Simplifying the fraction, we get ((100 - 60) / 100) = 40/100 = 2/5.

Therefore, Briana will have 2/5 of her money left after buying all the CDs she planned to buy.