Word problems: mathematical descriptions of stated quantities

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John's work completion in n days is correctly represented as n/8, indicating he finishes 1/8 of the job daily. The expression for how much 4k is greater than 4h should be 4k - 4h, not 4h + 4k, as it requires a subtraction to find the difference. For the salt solution question, a 25% salt concentration means that in x gallons, there would be 0.25x gallons of salt. The representation of three consecutive integers starting from n is accurately given as n, n+1, n+2. Understanding the salt concentration question is crucial for correctly interpreting volume percentages in solutions.
paulmdrdo1
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1.
a.if john finished the job in 8 days, what was the part he finished in n days?
b. by how much 4k greater than 4h?
c. represent the amount of salt in x gallons of a 25% by volume of salt in solution water.
d. represent 3 consecutive integers if the smallest is n.

answers

a. n/8
b. 4h+4k
c. i don't know.
d. n,n+1,n+2

can you check if my answers were correct. in c i don't understand the question. please provide explanation thanks!
 
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Re: Word problems.

paulmdrdo said:
1.
a.if john finished the job in 8 days, what was the part he finished in n days?
b. by how much 4k greater than 4h?
c. represent the amount of salt in x gallons of a 25% by volume of salt in solution water.
d. represent 3 consecutive integers if the smallest is n.

answers

a. n/8
Yes.

b. 4h+4k
No. For example, if you were asked "How much more is 12 than 8" you would NOT answer "12+ 8= 20"!
12 is NOT "20 more than" 8!

c. i don't know.
If a solution is 25% salt then, by volume, on gallon will contain .25= 1/4 gallon of salt.

d. n,n+1,n+2
Yes.

can you check if my answers were correct. in c i don't understand the question. please provide explanation thanks![/QUOTE]
 
Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?

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