A total amount of RM720 is divided among Anne,Banu and Chan.The amount of money received by Anne is twice the amount of money received by Banu.The amount of money received by Banu is RM80 less than the amount of money received by Chan.Find the amount of money received by each of them.
just put the words into symbols:
a+b+c = 720
a = 2b
b = c-80
Now just crank it out.
To solve this problem, we can break it down into simpler steps:
Step 1: Assign variables
Let's assign variables to represent the amount of money received by each person.
- Let the amount received by Anne be represented by the variable 'A'
- Let the amount received by Banu be represented by the variable 'B'
- Let the amount received by Chan be represented by the variable 'C'
Step 2: Set up equations
Based on the given information, we can set up the following equations:
1) "The amount of money received by Anne is twice the amount of money received by Banu."
This can be expressed as: A = 2B
2) "The amount of money received by Banu is RM80 less than the amount of money received by Chan."
This can be expressed as: B = C - 80
3) "A total amount of RM720 is divided among Anne, Banu, and Chan."
This can be expressed as: A + B + C = 720
Step 3: Solve the equations
Now, we will solve the system of equations simultaneously to find the values of A, B, and C.
Using equation 2, we can substitute C - 80 for B in equation 1:
A = 2(C - 80)
Substituting this new expression for A into equation 3, we have:
2(C - 80) + B + C = 720
Simplifying the equation, we get:
3C - 160 + C = 720
4C - 160 = 720
4C = 880
C = 220
Substituting C = 220 into equation 2, we can find B:
B = C - 80
B = 220 - 80
B = 140
Finally, using B = 140 and C = 220, we can find A using equation 1:
A = 2B
A = 2(140)
A = 280
So, Anne received RM280, Banu received RM140, and Chan received RM220.