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.
A pattern of gradual change<span> in a condition, output, or process, or an average or general </span>tendency<span> of a series of data points to move in a certain direction over time, represented by a line or curve on a graph.</span>
Answer:
9/2 feet
Step-by-step explanation:
This means that the total height is 6 * 3/4 or 18/4=9/2 of a foot.
Answer:
B
Step-by-step explanation:
From the given information:
Sienna has $8 denotes the unit blocks of x tiles. So, she saved $3 per week.
This implies that:
8x + 3(1) = 8x + 3
Also,
If Jacob as well had $6 which implies 6x unit block of tiles while he saved $4;
i.e.
6(x) + 4(1) = 6x + 4
So;
the model that can determine when Sienna will have the same amount as Jacob is:
8x + 3 = 6x + 4
Answer:
ciu4rhiydve
Step-by-step explanation:
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