A candy distributor needs to mix 10% a fat content chocolate with 40% fat content chocolate to create 200 kg of a 16% fat conten
t chocolate how many kilograms of each kind of chocolate must they use
1 answer:
I like to use an X diagram to solve problems like this. The constituent percentages are on the left, the desired mix is in the middle and the numbers on the diagonals are the difference between the mix and the constituent.
The numbers 6 and 24 here represent the ratio of 40% to 10% chocolate. That 6:24 ratio can be reduced to 1:4. The sum of those ratio units is 1+4 = 5, so each must represent (200 kg)/5 = 40 kg of chocolate.
The mix must consist of
40 kg of 40% fat chocolate
160 kg of 10% fat chocolate
The numbers 6 and 24 here represent the ratio of 40% to 10% chocolate. That 6:24 ratio can be reduced to 1:4. The sum of those ratio units is 1+4 = 5, so each must represent (200 kg)/5 = 40 kg of chocolate.
The mix must consist of
40 kg of 40% fat chocolate
160 kg of 10% fat chocolate
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<h2>The required 'option C) 144' is correct.</h2>
Step-by-step explanation:
We have,
To find, the possible value of x = ?
∴
⇒
Using the exponential identity,
⇒
⇒
⇒
Squaring both sides, we get
⇒
⇒ x = 144
∴ The possible value of x = 144
Thus, the required 'option C) 144' is correct.
Answer:
a) 0.1587 b) 0.023 c) 0.1587 d) 1.15 e)-0.95
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 510
Standard Deviation, σ = 100
We are given that the distribution of SAT score is a bell shaped distribution that is a normal distribution.
Formula:
a) P(score greater than 610)
P(x > 610)
Calculation the value from standard normal z table, we have,
b) P(score greater than 710)
Calculating the value from the standard normal table we have,
c)P(score between 410 and 510)
d) x = 625
e) x = 415