Brandon has 23 3/5 yards of upholstery fabric and 18 1/2 yards of drapery fabric into 2 5/6 yard pieces. How many more drapery pieces than upholstery pieces does Brandon have?

Respuesta :

The number of more drapery pieces than upholstery pieces does Brandon have is 2.03 pieces

Fraction

  • Upholstery fabric = 23 3/5 yards
  • Drapery fabric = 18 1/2 yard
  • Each fabric piece = 2 5/6 yards

Number of pieces of upholstery fabric = 23 3/5 ÷ 2 5/6

= 118/5 ÷ 17/6

= 118/5 × 6/17

= 708 / 85

= 8 28/85

Number of pieces of drapery fabric = 18 1/2 ÷ 2 5/6

= 37/2 ÷ 17/6

= 37/2 × 6/17

= 222/34

= 6 18/34

= 6 9/17

How many more drapery pieces than upholstery pieces does Brandon have = 708 / 85 - 222/34

= (24072-18204) / 2890

= 5,868 / 2890

= 2.03 pieces

Therefore, the number of more drapery pieces than upholstery pieces does Brandon have is 2.03 pieces

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