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 = 180 g
(b)
Mass of X and Z
= 490 - 180
= 310 g
Mass of X and Y
= 470 - 180
= 290 g
Mass of Y and Z
= 480 - 180
= 300 g
(X + Z) + (X + Y) + (Y + Z) = 310 + 290 + 300
2 X + 2 Y + 2 Z = 900
2 x (X + Y + Z) = 900
X + Y + Z
= 900 ÷ 2
= 450 g
Average mass of the objects X, Y and Z
= 450 ÷ 3
= 150 g
Answer(s): (a) 180 g; (b) 150 g