Originally 6012

A metal container with sand weighs 1.4 tons. If we remove part of the sand, then the rest of the sand, which is 24% of the original amount, together with the metal container, weighs 1.1 tons.
a) What is the weight of the container?
b) How many tons of sand were originally in the container?

Correct answer:

a =  1.0053 t
b =  0.3947 t

Step-by-step explanation:


a+b = 1.4
a + 24/100 b = 1.1

a+b = 1.4
a + 24/100·b = 1.1

a+b = 1.4
100a+24b = 110

Pivot: Row 1 ↔ Row 2
100a+24b = 110
a+b = 1.4

Row 2 - 1/100 · Row 1 → Row 2
100a+24b = 110
0.76b = 0.3


b = 0.3/0.76 = 0.39473684
a = 110-24b/100 = 110-24 · 0.39473684/100 = 1.00526316

a = 191/190 ≈ 1.005263
b = 15/38 ≈ 0.394737

Our linear equations calculator calculates it.
b=0.3947=0.3947 t



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