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mezya [45]
3 years ago
6

Does anyone know what the system of equations for this would be?

Mathematics
1 answer:
STatiana [176]3 years ago
8 0
A + b = 10 pounds
rewrie as:
a = 10 pounds  - b

0.75a + 0.50 b = $6.00
replace a with the above equation:

0.75(10-b) +0.50b = 6.00

distribute the(10-b):

7.50 - 0.75b + 0.50b = 6.00

combine like terms:

7.50-0.25b = 6.00

subtract 7.50 from each side:

-0.25b = -1.50

divide both sides by 0.25 to find b
b = -1.50 / -0.25
b = 6 

she bought 6 pounds of bananas and 4 pounds of apples
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3 years ago
A boy thinks he has discovered a way to drink extra orange juice without alerting his parents. For every cup of orange juice he
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Answer:

4.847 cups

Step-by-step explanation:

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The boy takes 1 cup of orange juice out, so there is x−1 cups left out of a total volume of x cups.  So the new concentration in the container is:

(x − 1) / x

Next, he takes another cup out, but this time, it isn't 100% orange juice any more.  So the number of cups of orange juice left in the container is x − 1 − (x − 1) / x.  The total volume is still x cups, so the new concentration is:

[x − 1 − (x − 1) / x] / x

Repeating this logic, after he replaces the third cup with water, the final concentration is:

{x − 1 − (x − 1) / x − [x − 1 − (x − 1) / x] / x} / x

This final concentration is equal to 1/2.

1/2 = {x − 1 − (x − 1) / x − [x − 1 − (x − 1) / x] / x} / x

1/2 x = x − 1 − (x − 1) / x − [x − 1 − (x − 1) / x] / x

1/2 x² = x (x − 1) − (x − 1) − [x − 1 − (x − 1) / x]

1/2 x² = x (x − 1) − (x − 1) − (x − 1) + (x − 1) / x

1/2 x² = x (x − 1) − 2 (x − 1) + (x − 1) / x

1/2 x³ = x² (x − 1) − 2x (x − 1) + (x − 1)

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Using a calculator to solve this:

x = 4.847

There are originally 4.847 cups in the container.

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3 years ago
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