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NISA [10]
3 years ago
13

X

Mathematics
1 answer:
hoa [83]3 years ago
3 0

Ann recipe produces the sandwiches with the most peanut butter flavor

Step-by-step explanation:

The given is:

1. Ann uses 12 1/4 ounces of peanut butter to make 50 1/2 Sandwiches

2. Ben uses 7 1/4 ounces of peanut butter to make 48 1/2

3. Cal uses 15 1/2 ounces of peanut butter to make 85 1/2 sandwiches

To find whose recipe produces the sandwiches with the most peanut

butter flavor we must find the quantity of butter per sandwich in each

recipe

∵ Ann uses 12.25 ounces of peanut butter to make 50.5 Sandwiches

- Divide the quantity of butter by the number of sandwiches

∵ 12.25 ÷ 50.5 = 0.2426 ounce per sandwich

Ann recipe produces the sandwiches with 0.2426 ounce per sandwich

∵ Ben uses 7.25 ounces of peanut butter to make 48.5 Sandwiches

- Divide the quantity of butter by the number of sandwiches

∵ 7.25 ÷ 48.5 = 0.1495 ounce per sandwich

Ben recipe produces the sandwiches with 0.1495 ounce per sandwich

∵ Cal uses 15.5 ounces of peanut butter to make 85.5 Sandwiches

- Divide the quantity of butter by the number of sandwiches

∵ 15.5 ÷ 85.5 = 0.1813 ounce per sandwich

Cal recipe produces the sandwiches with 0.1813 ounce per sandwich

∵ The greatest quantity of butter per sandwich is 0.2426 ounce

∴ Ann recipe produces the sandwiches with the most peanut

  butter flavor

Ann recipe produces the sandwiches with the most peanut butter flavor

Learn more:

You can learn more about the rate in brainly.com/question/317616

#LearnwithBrainly

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he marked price of a ceiling fan is ₹720. During off season, it is sold for ₹684. Find the discount percent.
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Read 2 more answers
Bill Ding plans to build a new hardware store. He buys a rectangular lot that is 50 ft by 200 ft, the 50-ft dimension being alon
enot [183]

Answer:

Length a = 59.62

Width b = 67.09

Cost = $10,734.4

Step-by-step explanation:

Solution:

Let a be the length and b be the width.

Area of the rectangle = a x b

a x b = 4000

Cost of the construction:

Cost = 100a + 80(a + 2b)

Cost = 100a + 80a + 160b

Cost = 180a + 160b     Equation of the Cost of the construction.

Now, we need a and b to calculate the minimum cost required to build a lot.

From the area = a x b

we have,

a x b = 4000

b = 4000/a

Putting this equation into the cost of the construction.

We get:

Cost = 180a + 160 x (4000/a)

Cost = 180a + 640000/a

Differentiating with respect to a, we get

C^{'} = 180 - 640000/a^{2}

Putting C^{'} = 0

180 - 640000/a^{2} = 0

Taking LCM

180a^{2} - 640000 = 0

Solving for a

180a^{2} = 640000

a^{2} = 640000/180

a^{2} = 3555.55

Taking square root

a = 59.62

As we know,

b = 4000/a

putting the minimum value of a  = 59.62

b = 4000/59.62

b = 67.09

So, now we have both the dimensions a and b

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Cost = 180a + 160b

Cost = 180(59.62) + 160(67.09)

Cost = $10,734.4

Hence, $10,734.4 will be the minimum cost of the construction for Bill Ding.    

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