PSLEThe graph shows the mass of a glass when empty and when different combinations of objects X, Y and Z are placed in the glass.
- What is the mass of the empty glass?
- What is the average mass of the objects X, Y and Z?
(a)
Mass of the empty glass = 140 g
(b)
Mass of X and Z
= 440 - 140
= 300 g
Mass of X and Y
= 460 - 140
= 320 g
Mass of Y and Z
= 360 - 140
= 220 g
(X + Z) + (X + Y) + (Y + Z) = 300 + 320 + 220
2 X + 2 Y + 2 Z = 840
2 x (X + Y + Z) = 840
X + Y + Z
= 840 ÷ 2
= 420 g
Average mass of the objects X, Y and Z
= 420 ÷ 3
= 140 g
Answer(s): (a) 140 g; (b) 140 g