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Leokris [45]
3 years ago
11

Mary is making some shirts for her school's drama department. The fabric store has 3 1/6 yards of the fabric she wants in stock.

But this quantity of fabric can make only 1 1/3 shirts. What length of fabric does Mary need to buy if she wants to sew 2 shirts?
Mathematics
2 answers:
ddd [48]3 years ago
6 0
The answer is <span>4 3/4 yards of the fabric.</span>

This can be calculated using the proportion.
If the 3 1/6 yards of the fabric is enough for <span>1 1/3 shirts, how many yards are necessary of 2 shirts:
</span>3 \frac{1}{6} yards :1 \frac{1}{3}shirts =xyards:2shirts

Let's express 3 1/6 as 19/6:
3 \frac{1}{6} =3+ \frac{1}{6} = 3* \frac{6}{6}+ \frac{1}{6} = \frac{18}{6} + \frac{1}{6} = \frac{18+1}{6} = \frac{19}{6}

Similarly, 1 1/3 = 4/3:
1 \frac{1}{3} =1+ \frac{1}{3} = 1* \frac{3}{3}+ \frac{1}{3} = \frac{3}{3} + \frac{1}{3} = \frac{3+1}{3} = \frac{4}{3}

Now, let's use this in the proportion:
<span>3 \frac{1}{6} yards :1 \frac{1}{3}shirts =xyards:2shirts
</span>\frac{19}{6} : \frac{4}{3} = x:2

Crossing the products:
x* \frac{4}{3} =2* \frac{19}{6}
⇒ x* \frac{4}{3} = \frac{19}{3}
⇒ x = \frac{19}{3} : \frac{4}{3}
x= \frac{19}{3} * \frac{3}{4}
⇒ x = \frac{19}{4} = \frac{16+3}{4} = \frac{16}{4} + \frac{3}{4} =4+ \frac{3}{4} =4 \frac{3}{4}

Therefore, Mary needs in total 4 3/4 yards of the fabric.
juin [17]3 years ago
5 0

Answer:

The answer is 4 3/4 yards of the fabric.

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