Final answer:
To find the part of all the money that was spent, we need to calculate the fraction of the money that was left after spending 3/4. The part of all the money that was spent is 1/5.
Step-by-step explanation:
To find the part of all the money that was spent, we need to calculate the fraction of the money that was left after spending 3/4. Let's break it down step by step:
The student wants to find out what part of all their money they have spent after two transactions. Initially, the student spent 3/4 of their money. What remains is 1 - 3/4 = 1/4 of the original amount. Then, the student spent 1/5 of this remaining 1/4, which is 1/5 * 1/4 = 1/20 of the original amount. To find the total fraction of the money spent, we add the two fractions of the money spent.
3/4 (initially spent) + 1/20 (further spent) = 15/20 + 1/20 = 16/20 = 4/5 of the money was spent.
Therefore, none of the given options (A: 7/20, B: 1/3, C: 2/5, D: 4/15) are correct for the fraction of the money that the student spent.
Therefore, the part of all the money that was spent is 1/5. Option C: 2/5 is not correct.