Object A is 5kg heavier than object B and the mass of object C is twice the mass of object A if the total mass of the three object is 255 kg,find the mass of object C.
Answers
Answer:
Step-by-step explanation:
= mass of object A
y = mass of object B
z = mass of object C
object A is 5 kg heavier than object B
x = y + 5
object C is twice the mass of object A
z = 2 * x
total mass is 255 kg.
x + y + z = 255
x = y + 5 leads to y = x - 5 as follows:
start with x = y + 5
subtract 5 from both sides to get x - 5 = y
replace y with x - 5 and replace z with 2 * x in the equation of x + y + z = 255.
you will get x + x - 5 + 2 * x = 255
combine like terms to get 4 * x - 5 = 255
add 5 to both sides to get 4 * x = 260
divide both sides by 4 to get x = 65
x = 65
y = x - 5 = 60
z = 2 * x = 130
x + y + z = 255 becomes 65 + 60 + 130 = 255 which becomes 255 = 255 which is true.
x = y + 5 becomes 65 = 60 + 5 which becomes 65 = 65 which is true.
z = 2 * x becomes 130 = 2 * 65 which becomes 230 = 230 which is true.
Answer:
130
Step-by-step explanation: