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 = 190 g
(b)
Mass of X and Z
= 550 - 190
= 360 g
Mass of X and Y
= 570 - 190
= 380 g
Mass of Y and Z
= 530 - 190
= 340 g
(X + Z) + (X + Y) + (Y + Z) = 360 + 380 + 340
2 X + 2 Y + 2 Z = 1080
2 x (X + Y + Z) = 1080
X + Y + Z
= 1080 ÷ 2
= 540 g
Average mass of the objects X, Y and Z
= 540 ÷ 3
= 180 g
Answer(s): (a) 190 g; (b) 180 g