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 is 225 kg, find the mass of object C.
Answers
Step-by-step explanation:
x = 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.
solution is confirmed to be true.
solution is the mass of object C = z which is equal to 130.
Answer by josgarithmetic(35577) About Me (Show Source):
You can put this solution on YOUR website!
Let b equal mass of object B.
OBJECT MASS
A b+5
B b
C 2(b+5)
TOTAL 255
Solve for b in Total equation and evaluate C.
Please mark my answer as BRAINLIEST...
Step-by-step explanation:
Mass of A = 5kg heavier than B
Mass of C = Twice the mass of A = 2×A
A+B+C= 225kg
A=B+5
B=B
C=2×A
A+B+C=225
B+5+B+2×(A)
=B+5+B+2(B+5)
=4B+15=225
4B=225-15
4B=210
B=52.5kg
mass B is 52.5kg
Mass of A is =B+5=52.5+5=57.5
Mass of C =2×A
=2×57.5
=115
Check
57.5+52.5+115=225
225=225