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.
Therefore, the box mass is 1548 grams and mass of a cube is 4 grams.
