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Problem of the Week
Problem A
Balancing Act

James is in charge of sending out boxes from a distribution centre. The contents of the boxes are identified by shapes stamped on them: a heart, a moon, or a sun. All boxes with the same stamp have the same mass.

The following diagrams show what James observed when arranging some of the boxes and standard weights on a scale.

One side of the scale has a moon box and the other side has
a heart box and a sun box.

One side of the scale has three heart boxes and the other
side has a 15 kg weight.

One side of the scale has four heart boxes and the other
side has a sun box.

Given that each scale is balanced, determine the mass of each box.

Theme: Algebra