Box a contains 53 cubes and has a mass of 1760 grams. box b contains 18 cubes and has a mass of 1620 grams. the mass of box a is the same as the mass of box b. every cube has the same mass.

Let x = the mass of a box and

y = the mass of a cube.

Box A

53 cubes and has a total mass = 1760 grams.

Therefore, box mass + 53 cubes mass = 1760.

x+ 53y = 1760    equation (1).

Box B

18 cubes and has a total mass = 1620 grams.

Therefore, box mass + 18 cubes mass = 1620.

x+ 18y = 1620     equation (2).

Subtracting equation (2) from equation (1), we get

 x+ 53y = 1760

- (x+ 18y = 1620)

    35y = 140

Dividing both sides by 35, we get

y = 4.

Plugging y = 4 in first equation, we get

x+ 53y = 1760

x + 53 (4) = 1760.

x + 212 = 1760.

Subtracting 212 from both sides, we get

x + 212-212 = 1760-212.

x = 1548.