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
You might be interested in
well, 120,000 has 4 zeros and 12,000 has 3 zeros, so if we divide 120,000 by 10 we get 12,000, just to make it short, 12,000 is one tenth of 120,000 and thus the 10%.
now, 48,000, we know that 120,000 is the 100%, what is 48,000 in percentage off of it?