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Oliga [24]
3 years ago
12

Evelyn is making a candy that contains 25% dark chocolate and the rest milk chocolate. The candy has 3 pounds of milk chocolate.

Mathematics
1 answer:
Setler [38]3 years ago
3 0

Part A:

If 25% is dark chocolate and the rest is milk chocolate then, dark + milk = all

25% + milk chocolate= 100%

Subtract 25% from both sides and 100 minus 25 is 75 so, milk chocolate is 75% of all the chocolate.


Now, if there is 3 pounds of milk chocolate then 3 pounds= 75%.

You would divide by 3 so, 75 divided by 3 is 25.

1 pound or lb= 25% which us the amount of dark chocolate that there is.

Now, we know that there milk chocolate is 75% and dark chocolate is 25% of all the chocolate.

M= pounds of milk chocolate

D= dark chocolate

Equation: m divided by d or m/d= 75 divided by 25 or 75/25 or m/d=3 and m=3

3 divided by d or 3/d=3

3=3d

D=1


Part B:

There is 1 pound of dark chocolate in the candy.

Hope this helps! :)

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Part 1) The unit rate is 16\frac{dollars}{ounce}

Part 2) The unit rate is \frac{1}{4}\frac{dollars}{ounce}

Part 3) The unit rate is \frac{1}{4}\frac{dollars}{ounce}

Part 4) The unit rate is 4\frac{dollars}{ounce}

see the attached figure

Step-by-step explanation:

we know that

The formula to calculate the slope between two points is equal to

m=\frac{d2-d1}{n2-n1}

where

d ----> number of dollars (dependent variable or output value)

n ---> number of ounces (independent variable or input value)

Remember that the slope of the linear equation is the same that the unit rate

<u><em>Verify each case</em></u>

1) we have

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m=16\frac{dollars}{ounce}

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The unit rate is 16\frac{dollars}{ounce}

2) we have

<em>First table</em>

take two points from the table

(4,1) and (16,4)

substitute in the formula of slope

m=\frac{d2-d1}{n2-n1}

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m=\frac{1}{4}\frac{dollars}{ounce}

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This is a proportional relationship between the variables d and n

isolate the variable d

d=\frac{1}{4}n

The slope is

m=\frac{1}{4}\frac{dollars}{ounce}

therefore

The unit rate is \frac{1}{4}\frac{dollars}{ounce}

4) we have

<em>Second table</em>

take two points from the table

(1,4) and (2,8)

substitute in the formula of slope

m=\frac{d2-d1}{n2-n1}

m=\frac{8-4}{2-1}

m=4\frac{dollars}{ounce}

therefore

The unit rate is 4\frac{dollars}{ounce}

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