If a school district paid a total of $35 per desk for x desks and a total of $30 per table for y tables, what was the total amount that the district paid for these desks and tables?
- The total amount the district paid for the y tables was $900.
- x = 90, and the total amount the district paid for the x desks was 3.5 times the total amount the district paid for the y tables.
Solution
Steps 1 & 2: Understand Question and Draw Inferences
In this question, we are given
- A school district paid a total of $35 per desk for x desks, and a total of $30 per table for y tables.
We need to determine
- The total amount paid by the district for the desks and tables.
The total amount spent on desks = 35x
The total amount spent on tables = 30y
- Hence, the total amount spent = 35x + 30y
- Therefore, we need to know the values of x and y.
With this understanding, let us now analyse the individual statements.
Step 3: Analyse Statement 1
As per the information given in statement 1, the total amount the district paid for the y tables was $900.
- 30y = 900
However, we still don’t know the value of x or 35x.
Hence, statement 1 is not sufficient to answer the question.
Step 4: Analyse Statement 2
As per the information given in statement 2, x is 90, and the total amount the district paid for x desks was 3.5 times the amount the district paid for the y tables.
- The total amount paid for desks = 90 × 35
- Therefore, the total amount paid for tables = 90 × 35/3.5
As we can determine the total amount spent on desks and tables individually, we can determine the total amount spent on both together.
Hence, statement 2 is sufficient to answer the question.
Step 5: Combine Both Statements Together (If Needed)
Since we can determine the answer from statement 2 individually, this step is not required.
Hence, the correct answer choice is option B.
