The problem statement gives a relation between the amount removed from one bag and the amount removed from the other. It asks for the amount remaining in each bag. Thus, there are several choices for variables in this problem, some choices resulting in more complicated equations than others.
Let's do it this way: let x represent the amount remaining in bag 1. Then the amount removed from bag 1 is (100-x). The amount remaining in bag 2 is 2x, so the amount removed from that bag is (100-2x). The problem statement tells us the relationship between amounts removed:
... (100 -x) = 3(100 -2x)
... 100 -x -3(100 -2x) = 0 . . . . . . subtract the right side
... 5x -200 = 0 . . . . . . . . . . . . . . eliminate parentheses and collect terms
... x -40 = 0 . . . . . . . . . . . . . . . . .divide by 5
... x = 40 . . . . . . . . . . . . . . . . . . . add 40
- 40 kg is left in the first bag
- 80 kg is left in the second bag
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<u>Check</u>
The amount removed from the first bag is 60 kg. The amount removed from the second is 20 kg. The amount removed from the first bag is 3 times the amount removed from the second bag, as described.
Answer:
60/100 orrrrrrrrrrrrrrrr 6/10
Step-by-step explanation:
Answer:
The equation is: 
and the number is 72.
Step-by-step explanation:
We have to use mathematical notation to convert the given statement into an equation. As we don't know the exact value of number, we have to use a variable in place of the number.
Let x be the required number then
"A number decreased by 7"
"and then divided by 5"
" is 13."
For solving, multiplying both sides of equation by "5"
Adding 7 on both sides of equation
Hence,
The equation is: and the number is 72.
4.5£
Exp:
18(.25) = 4.5
To convert % to decimal, always move the decimal 2 places to the left.
examples:
25% = 0.25
100% = 1.00
Use a/ 1-r
Where a = 18 and r = 1.2
18/ 1 - 1.2 = 18/-.2 = -90
Because the answer is below 1. The sum does not exist therefore it diverges.
