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?
The ratio of amounts spent on Monday, Tuesday, and Wednesday is 3:2:4.
Janice's spending can be calculated as follows: she spends $27 on Monday, $18 on Tuesday, and $36 on Wednesday. This leads to a ratio of amounts spent that simplifies to 3:2:4.
This ratio suggests that Janice spent equal amounts each day, totaling three days. However, the amounts spent on each day are not equal; therefore, this ratio does not accurately represent her spending pattern.
This ratio implies that Janice spent twice as much on Monday and Tuesday compared to Wednesday. Given the actual amounts spent ($27 on Monday, $18 on Tuesday, and $36 on Wednesday), this representation is incorrect as it does not reflect the true proportions of her spending.
This ratio correctly reflects Janice's spending of $27 on Monday, $18 on Tuesday, and $36 on Wednesday. When simplified, the amounts correspond to a ratio of 3:2:4, which accurately represents her expenditure across the three days.
This ratio suggests an incorrect relationship among the amounts spent, particularly overestimating Monday's expenditure. The actual amounts spent do not support this ratio, as Monday's expenditure does not represent five parts in comparison to the others.
The correct ratio of Janice's spending on Monday, Tuesday, and Wednesday is 3:2:4, indicating that she spent $27, $18, and $36 respectively. The other options fail to accurately represent her spending pattern, emphasizing the importance of correctly interpreting financial transactions to derive valid ratios.
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