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Kazeer [188]
3 years ago
12

San Francisco is known for its fine chocolates. If a deluxe box of fancy chocolates weighs 1 pound 8 ounces and contains 32 choc

olate pieces, about how much does each piece weigh? What equation solves this problem? A) 32/24 = n B) 28/32 = n C) 24/32 = n D) 18/32 = n
Mathematics
1 answer:
stiks02 [169]3 years ago
7 0

Answer:

24/32 which is C

Step-by-step explanation:

1 pound = 16 oz

1/2 pound = 16/2 = 8 oz

The box of chocolates weighs 1 1/2 pounds which is 16 + 8 =24 oz

So 32 chocolates weighs 24 oz

      1 chocolate = x

32/1 = 24/x         Equation. Cross multiply

32x = 24             Divide by 32

x = 24/32

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a farmer has 10 acres to plant in wheat and rye. He has to plant at least 7 acres. However, he has only $1200 to spend and each
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Answer:

4 acres of wheat and 4 acres of rye.

Step-by-step explanation:

Given: Farmer has only 7 acre, he has plant at least 7 acres.

          Farmer has only $1200 to spend.

          Each acre of wheat will cost $200 and rye will cost $100.

          Planting time is only 12 hours

          Wheat planting take 1 hour per hour and rye take 2 hours per acre.

          Profit on wheat is $500 per acre and rye $300 per acre.

As to find out maximum profit, we need to plant maximum wheat.

While dividing number of acres of land for wheat and rye for plantation, we need to keep two constraint in the mind; Constraint of cost and time as given.

Lets assume few number considering these constraint to get maximum profit.

First assumption, 5 acres of wheat and 2 acres of rye

Time taken= 5\times 1= 5 h\\2\times 2= 2 h

Total time taken 7 hours

Amount spent= 5\times 200= \$ 1000\\2\times 100= \$ 200

Total cost is $ 1200.

Profit= 5\times 500= \$ 2500\\2\times 300= \$ 600

Maximum profit= $3100.

Second assumption, 4 acres of wheat and 4 acres of rye.

Times taken= 4\times 1= 4 h\\4\times 2= 8 h

Total time taken is 12 hours

Amount spent= 4\times 200= \$ 800\\4\times 100= \$ 400

Total cost is $1200.

Profit= 4\times 500= \$ 2000\\4\times 300= \$ 1200

Maximum profit= $3200.

∴ By using hit and trail method, we can see that we are getting maximum profit when farmer is planting 4 acres of wheat and 4 acres of rye.                

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