The mass of one cast-iron ingot is 9 times greater than the mass of the second.
| July 1, 2021 | education
The mass of one cast-iron ingot is 9 times greater than the mass of the second. Find the mass of the first blank if it is 64 kg greater than the mass of the second blank.
The second cast-iron piece weighs x kilograms, then the mass of the first piece is 9x kilograms.
It is known that the first blank is 64 kilograms larger than the second. We get the equation:
9x – x = 64;
8x = 64;
x = 8.
The smaller blank weighs 8 kilograms, the larger blank weighs 8 × 9 = 72 kilograms.
Answer: the mass of the first blank is 72 kilograms.
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