Math Problem Statement

Mrs James is sewing tablecloths, each cloth requires 2 1/2m of fabric. How many tablecloths can be made from 20m of fabric

Solution

To determine how many tablecloths Mrs. James can make, we need to divide the total amount of fabric (20 meters) by the amount of fabric needed for each tablecloth (2 1/2 meters).

Step-by-step solution:

  1. Convert 2122 \frac{1}{2} meters to an improper fraction: 212=52meters2 \frac{1}{2} = \frac{5}{2} \, \text{meters}

  2. Now, divide the total fabric (20 meters) by 52\frac{5}{2} meters: Number of tablecloths=2052=20×25=405=8\text{Number of tablecloths} = \frac{20}{\frac{5}{2}} = 20 \times \frac{2}{5} = \frac{40}{5} = 8

Mrs. James can make 8 tablecloths from 20 meters of fabric.

Would you like further details, or do you have any questions?

Here are 5 related questions:

  1. How much fabric would be left over if Mrs. James had only 19 meters of fabric?
  2. What if each tablecloth required 3 meters of fabric instead?
  3. How many tablecloths can be made from 50 meters of fabric?
  4. If the fabric cost $5 per meter, how much would the fabric for 8 tablecloths cost?
  5. How much fabric would Mrs. James need to make 12 tablecloths?

Tip: When dividing by fractions, multiply by the reciprocal of the fraction for a quicker calculation.

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Math Problem Analysis

Mathematical Concepts

Division
Fractions
Mixed Numbers

Formulas

Number of tablecloths = Total fabric / Fabric per tablecloth
Conversion of mixed numbers to improper fractions

Theorems

Reciprocal Multiplication Theorem

Suitable Grade Level

Grades 5-6