Three granaries

Three granaries hold 7,800 metric cent (q) of grain. In the first, 70 tonnes of grain was more than the second and in the third it was 120 tonnes less than in the second. How many grain were in each granary?

Correct answer:

a =  2686.6667 q
b =  2616.6667 q
c =  2496.6667 q

Step-by-step explanation:


a+b+c=7800
a = 70+b
c = b-120

a+b+c = 7800
a-b = 70
b-c = 120

Row 2 - Row 1 → Row 2
a+b+c = 7800
-2b-c = -7730
b-c = 120

Row 3 - 1/-2 · Row 2 → Row 3
a+b+c = 7800
-2b-c = -7730
-1.5c = -3745


c = -3745/-1.5 = 2496.66666667
b = -7730+c/-2 = -7730+2496.66666667/-2 = 2616.66666667
a = 7800-b-c = 7800-2616.66666667-2496.66666667 = 2686.66666667

a = 8060/3 ≈ 2686.666667
b = 7850/3 ≈ 2616.666667
c = 7490/3 ≈ 2496.666667

Our linear equations calculator calculates it.



Did you find an error or inaccuracy? Feel free to write us. Thank you!







Tips for related online calculators
Do you have a linear equation or system of equations and looking for its solution? Or do you have a quadratic equation?

You need to know the following knowledge to solve this word math problem:

Related math problems and questions: