Hi experts,
I wanted to know the difference between formulating these sentences into equations.
1. If in the first minute, the amount of water in the Bucket increased by the proportion
1/n
2. The value of Andy' investment increased by x% in the first year
3. The value of Andy' investment increased by the factor x in the first year
4. The value of Andy' investment increased by the ratio 3/2 in the first year
5. The value of Andy' investment increased by the constant x in the first year
Word problems language clarity
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1. If in the first minute, the amount of water in the Bucket increased by the proportion[email protected] wrote:Hi experts,
I wanted to know the difference between formulating these sentences into equations.
1. If in the first minute, the amount of water in the Bucket increased by the proportion
1/n
2. The value of Andy' investment increased by x% in the first year
3. The value of Andy' investment increased by the factor x in the first year
4. The value of Andy' investment increased by the ratio 3/2 in the first year
5. The value of Andy' investment increased by the constant x in the first year
1/n
i.e. at the end of first minute the amount of water becomes = x+(1/n)*x if teh initial amount of water was x
2. The value of Andy' investment increased by x% in the first year
i.e.The investment (I) at the end of first year becomes = I +(x/100)*I = I(1 +x/100)
3. The value of Andy' investment increased by the factor x in the first year
i.e. The investment (I) at the end of first year becomes = I +(x)*I
4. The value of Andy' investment increased by the ratio 3/2 in the first year
i.e. The investment (I) at the end of first year becomes = I +(3/2)*I
5. The value of Andy' investment increased by the constant x in the first year
i.e. The investment (I) at the end of first year becomes = I +(x)
I hope this helps!!!
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1. If in the first minute, the amount of water in the Bucket increased by the proportion 1/n
Say the amount of water initially was P gallons, then in the first minute, the amount of water increased by P*(1/n) = P/n. Thus, the amount of water now = P + P/n = P(1 + 1/n)
2. The value of Andy' investment increased by x% in the first year
Say Andy' investment was $P, then Andy' investment increased by P*x% or by Px/100. Or, we can say that Andy' investment at the end of the first year = P + Px/100.
3. The value of Andy' investment increased by the factor x in the first year
Say Andy' investment was $P, then Andy' investment increased by P*x or by Px. Or, we can say that Andy' investment at the end of the first year = P + Px = P(1 + x).
4. The value of Andy' investment increased by the ratio 3/2 in the first year
Say Andy' investment was $P, then Andy' investment increased by P*3/2 or by 3P/2. Or, we can say that Andy' investment at the end of the first year = P + 3P/2 = 5P/2.
5. The value of Andy' investment increased by the constant x in the first year
Say Andy' investment was $P, then Andy' investment increased by $x. Or, we can say that Andy' investment at the end of the first year = P + x.
Hope this helps!
-Jay
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Manhattan Review GMAT Prep
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Say the amount of water initially was P gallons, then in the first minute, the amount of water increased by P*(1/n) = P/n. Thus, the amount of water now = P + P/n = P(1 + 1/n)
2. The value of Andy' investment increased by x% in the first year
Say Andy' investment was $P, then Andy' investment increased by P*x% or by Px/100. Or, we can say that Andy' investment at the end of the first year = P + Px/100.
3. The value of Andy' investment increased by the factor x in the first year
Say Andy' investment was $P, then Andy' investment increased by P*x or by Px. Or, we can say that Andy' investment at the end of the first year = P + Px = P(1 + x).
4. The value of Andy' investment increased by the ratio 3/2 in the first year
Say Andy' investment was $P, then Andy' investment increased by P*3/2 or by 3P/2. Or, we can say that Andy' investment at the end of the first year = P + 3P/2 = 5P/2.
5. The value of Andy' investment increased by the constant x in the first year
Say Andy' investment was $P, then Andy' investment increased by $x. Or, we can say that Andy' investment at the end of the first year = P + x.
Hope this helps!
-Jay
_________________
Manhattan Review GMAT Prep
Locations: New York | Singapore | London | Dubai | and many more...
Schedule your free consultation with an experienced GMAT Prep Advisor! Click here.