95. Janice received $81 and spent 1/3 on Monday, 1/3 of the remainder on Tuesday, and the rest on Wednesday. What is the ratio of amounts spent on Monday, Tuesday, and Wednesday?
Answer: C
The ratio of amounts spent on Monday, Tuesday, and Wednesday is 3:02:04.
Janice spent her money over three days: on Monday, she spent one-third of $81, which is $27. On Tuesday, she spent one-third of the remaining amount, and on Wednesday, she spent the rest. The final amounts lead to a ratio of 3:02:04.
A) 1:01:01
This ratio implies that Janice spent equal amounts each day, which does not reflect her spending pattern. Given that she spent different fractions each day, this option is incorrect.
B) 2:02:01
This option suggests that she spent equal amounts on the first two days and less on the last day. However, her spending was not equal, as she spent a larger amount on Monday compared to the subsequent days. Thus, this option is incorrect.
C) 3:02:04
This is the correct ratio as it accurately represents the amounts spent by Janice: $27 on Monday (3 parts), $18 on Tuesday (2 parts), and $36 on Wednesday (4 parts). The total amounts spent align with the ratios given.
D) 5:02:04
This ratio would imply she spent a larger amount on Monday than what she actually did. The amounts do not match her spending breakdown, making this option incorrect.
Conclusion
The ratio 3:02:04 appropriately describes Janice's spending across the three days, accurately reflecting the amounts spent. All other options fail to capture the correct proportions, either suggesting equal spending or distributing the amounts inaccurately. Thus, option C is definitively the correct answer.