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Anna35 [415]
3 years ago
13

Gina's curtain company is making curtains for a local hotel. She wants each curtain to be 36 inches long. At the fabric store, f

abric is sold by the foot. If Gina's curtain company wants to make 77 curtains, how many feet of fabric will she need? 1 inch = 1 12 foot
Mathematics
1 answer:
9966 [12]3 years ago
8 0

Answer:

231 feet of fabric

Step-by-step explanation:

Gina's curtain company is making curtains for a local hotel. She wants each curtain to be 36 inches long. At the fabric store, fabric is sold by the foot.

Converting from inches to foot

1 inch = 1/12 foot

36 inches = x feet

x = 36 × 1/12 foot

x = 3 feet

Hence, each curtain = 3 feet

If Gina's curtain company wants to make 77 curtains, how many feet of fabric will she need?

This is calculated as:

1 curtain = 3 feet

77 curtains = x

Cross Multiply

x = 77 × 3 feet

x = 231 feet

Hence, she would need 231 feet of fabric

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250 grams of sugar cost 150 dollars at Shop X. 100 grams of sugar cost 95 dollars at Shop Y. What is the difference in cost per
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<h2>Answer:</h2>

350 dollars

<h2>Step-by-step explanation:</h2>

<em>(step 1) Find the cost per kilogramme of sugar in shop X</em>

In shop X:

250 grams of sugar costs 150 dollars.

<em>Remember that;</em>

1000 grams = 1 kilogramme.

=> 250 grams will be equal to 0.25 kilogramme

Therefore (replacing 250 grams with 0.25 kilogramme) in shop X;

0.25 kilogramme of sugar costs 150 dollars

Now, if

0.25 kilogramme = 150 dollars,

=> 1 kilogramme =  150 dollars x 1 kilogramme / 0.25 kilogramme

=> 1 kilogramme = 600 dollars

Therefore, the cost per kilogramme of sugar in shop X is 600 dollars

<em>(step 2) Find the cost per kilogramme of sugar in shop Y</em>

In shop Y:

100 grams of sugar costs 95 dollars.

<em>Remember that;</em>

1000 grams = 1 kilogramme.

=> 100 grams will be equal to 0.1 kilogramme

Therefore (replacing 100 grams with 0.1 kilogramme) in shop Y;

0.1 kilogramme of sugar costs 95 dollars

Now, if

0.1 kilogramme = 95 dollars,

=> 1 kilogramme =  95 dollars x 1 kilogramme / 0.1 kilogramme

=> 1 kilogramme = 950 dollars

Therefore, the cost per kilogramme of sugar in shop Y is 950 dollars

<em>(step 3) Find the difference in cost per kilogramme of sugar between the two shops</em>

The difference is calculated by subtracting the cost per kilogramme of sugar in shop X from the cost per kilogramme of sugar in shop Y. i.e

=> cost per kilogramme of sugar in shop Y - cost per kilogramme of sugar in shop X

=> 950 dollars - 600 dollars

=> 350 dollars.

Therefore, the difference in cost per kilogramme is 350 dollars

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