Three factories Buka, Sakono and Rama produce sugar in one hundred kilogram bags daily. Buka produces three times as much as Rama. Sakono produced two times as much as Rama. If Sakono produces 500 bags, how many tones altogether do three factories produce daily?
Rama = r
Buka = 3r
Sakono = 2r
2r = 500
2r/2 = 500/2
r = 250
r + 3r + 2r
= 6r
total of r = 6(250) = 1500
looks good to me
Therefore, the three factories produce a total of 1500 bags of sugar daily.
To solve this problem, we need to find the amount of sugar produced by each factory and then add them together to find the total.
Let's assign variables to represent the amounts produced by each factory:
Rama = r (in 100 kg bags)
Buka = 3r (since Buka produces three times as much as Rama)
Sakono = 2r (since Sakono produces two times as much as Rama)
We are given that Sakono produces 500 bags:
2r = 500
Dividing both sides by 2:
r = 250
Now, we can substitute this value back into the other variables to find the amounts produced by each factory:
Rama = 250 bags
Buka = 3 * 250 = 750 bags
Sakono = 2 * 250 = 500 bags
To find the total amount of sugar produced, we add up the amounts produced by each factory:
Total = Rama + Buka + Sakono
Total = 250 + 750 + 500
Total = 1500 bags (in 100 kg)
To convert this to tons, we need to divide by 10:
Total_tons = Total / 10
Total_tons = 1500 / 10
Total_tons = 150 tons
Therefore, the three factories produce a total of 150 tons of sugar daily.