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Jet001 [13]
4 years ago
11

Write a system of equations (3 points) for the problem below and then solve it The candy shack has 20 lb. Of mixed white and dar

k chocolate worth $7.50 per pound. White chocolate alone sells for $8.00 per pound and dark chocolate sells for 6.00 per pound. How many pounds of each are in the mixture?
Mathematics
1 answer:
icang [17]4 years ago
5 0

Answer: the mixture contained 15 pounds of white chocolate and 5 pounds of dark chocolate.

Step-by-step explanation:

Let x represent the number of pounds of white chocolate in the candy shack mixture.

Let y represent the number of pounds of dark chocolate in the candy shack mixture.

The candy shack has 20 lb of mixed white and dark chocolate. This means that

x + y = 20

The 20lb mixture is worth $7.50 per pound. This means that the total cost of the mixture is

20 × 7.50 = $150

White chocolate alone sells for $8.00 per pound and dark chocolate sells for 6.00 per pound. This means that

8x + 6y = 150 - - - - - - - - - - - - - -1

Substituting x = 20 - y into equation 1, it becomes

8(20 - y) + 6y = 150

160 - 8y + 6y = 150

- 8y + 6y = 150 - 160

- 2y = - 10

y = - 10/ - 2

y = 5

x = 20 - y = 20 - 5

x = 15

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A trader old a writ watch for h.3150 after giving a 10% dicount.Find the marked price of the watch
vivado [14]

The marked price of the wrist watch after the trader sold a wrist watch for $3150 after giving a 10% discount is $3500.

First, let us understand the percentage:

A percentage is a fraction of a whole expressed as a number between 0 and 100. Nothing is zero percent, everything is 100 percent, half of everything is fifty percent, and nothing is zero percent.

To determine a percentage, we need to divide the portion of the whole by the whole itself and multiply by 100.

Let the marked price be x.

So,

According to the question;

x - x * 10% = 3150

x - x * 10/100 = 3150

100x - 10x / 100 = 3150

90x = 3150 * 100

x = 3150 * 100 / 90

x = 3500

So, the marked price is $3500.

Thus, the marked price of the wrist watch after the trader sold a wrist watch for $3150 after giving a 10% discount is $3500.

To learn more about percentage visit:

brainly.com/question/14307889

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8 0
1 year ago
If there are 624 calories in 3 servings, how many calories are in 1 serving
Zepler [3.9K]

Answer:

208 calories

Step-by-step explanation:

You have to divide 624 by 3, and you get 208.

7 0
3 years ago
Triangle ABC has vertices A(- 3, - 4), B(16, - 2) and C(13, - 10) . Show algebraically that ABC is a right angled triangle.​
8_murik_8 [283]

Given:

The vertices of a triangle ABC are A(-3,-4), B(16,-2) and C(13,-10).

To show:

That the triangle ABC is a right angled triangle.​

Solution:

Distance formula:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

The vertices of a triangle ABC are A(-3,-4), B(16,-2) and C(13,-10).

Using the distance formula, we get

AB=\sqrt{(16-(-3))^2+(-2-(-4))^2}

AB=\sqrt{(19)^2+(2)^2}

AB=\sqrt{361+4}

AB=\sqrt{365}

Similarly,

BC=\sqrt{\left(13-16\right)^2+\left(-10-\left(-2\right)\right)^2}

BC=\sqrt{73}

And,

AC=\sqrt{\left(13-\left(-3\right)\right)^2+\left(-10-\left(-4\right)\right)^2}

AC=\sqrt{292}

Now, add the square of two smaller sides.

BC^2+AC^2=(\sqrt{73})^2+(\sqrt{292})^2

BC^2+AC^2=73+292

BC^2+AC^2=365

BC^2+AC^2=(AB)^2

Since the sum of the square of two smaller sides is equal to the square of the largest side, therefore the given triangle is a right angle triangle by using Pythagoras theorem.

Hence proved.

7 0
3 years ago
What is 30% of 75?<br> A. 250<br> B. 22.5<br> C. 25<br> D. 225
AURORKA [14]
22.5 is your answer
3 0
3 years ago
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A parallelogram's area is given by the expression 4x2 + 2x + 6. The height of the parallelogram is 2x2. what is the base of the
yawa3891 [41]
A = B × h
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h = 2x^2
B = A/h
B = (4x^2 + 2x + 6)/(2x^2)
B = (2x^2 + x + 3)/x^2
7 0
3 years ago
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