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 = 130 g
(b)
Mass of X and Z
= 520 - 130
= 390 g
Mass of X and Y
= 500 - 130
= 370 g
Mass of Y and Z
= 510 - 130
= 380 g
(X + Z) + (X + Y) + (Y + Z) = 390 + 370 + 380
2 X + 2 Y + 2 Z = 1140
2 x (X + Y + Z) = 1140
X + Y + Z
= 1140 ÷ 2
= 570 g
Average mass of the objects X, Y and Z
= 570 ÷ 3
= 190 g
Answer(s): (a) 130 g; (b) 190 g