Questions: A furniture company is ordering screws. The company uses 37 screws to make each table and 16 screws to make each chair. The company needs to order screws for 12 tables and 48 chairs. Which answer is the most reasonable estimate of the total number of screws they need to order? 800 screws because 30 x 10+10 x 50=800 900 screws because 40 x 10+10 x 50=900 1,400 screws because 40 x 10+20 x 50=1,400 1,800 screws because 40 x 20+20 x 50=1,800

A furniture company is ordering screws. The company uses 37 screws to make each table and 16 screws to make each chair. The company needs to order screws for 12 tables and 48 chairs. Which answer is the most reasonable estimate of the total number of screws they need to order? 800 screws because 30 x 10+10 x 50=800 900 screws because 40 x 10+10 x 50=900 1,400 screws because 40 x 10+20 x 50=1,400 1,800 screws because 40 x 20+20 x 50=1,800
Transcript text: A furniture company is ordering screws. The company uses 37 screws to make each table and 16 screws to make each chair. The company needs to order screws for 12 tables and 48 chairs. Which answer is the most reasonable estimate of the total number of screws they need to order? 800 screws because $30 \times 10+10 \times 50=800$ 900 screws because $40 \times 10+10 \times 50=900$ 1,400 screws because $40 \times 10+20 \times 50=1,400$ 1,800 screws because $40 \times 20+20 \times 50=1,800$
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Solution

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Solution Steps

Step 1: Calculate Screws Needed for Tables

The company uses 37 screws for each table and needs screws for 12 tables. Therefore, the total number of screws needed for the tables is:

\[ 37 \times 12 = 444 \]

Step 2: Calculate Screws Needed for Chairs

The company uses 16 screws for each chair and needs screws for 48 chairs. Therefore, the total number of screws needed for the chairs is:

\[ 16 \times 48 = 768 \]

Step 3: Calculate Total Screws Needed

Add the screws needed for the tables and chairs to find the total number of screws required:

\[ 444 + 768 = 1212 \]

Step 4: Compare with Given Estimates

Now, compare the calculated total (1212 screws) with the given estimates:

  • 800 screws
  • 900 screws
  • 1,400 screws
  • 1,800 screws

The closest estimate to 1212 is 1,400 screws.

Final Answer

\(\boxed{1,400 \text{ screws because } 40 \times 10 + 20 \times 50 = 1,400}\)

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