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12 Nov 2015, 02:03
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B
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Difficulty:
15%
(low)
Question Stats:
81% (01:33) correct
19%
(01:39)
wrong
based on 488
sessions
History
Date
Time
Result
Not Attempted Yet
Jaime earned enough money by selling seashells at 25 cents each to buy several used paperback books at 55 cents each. If he spent all of the money he earned selling seashells to buy the books, what is the least number of seashells he could have sold ?
(A) 5
(B) 11
(C) 17
(D) 25
(E) 30
(A) 5
(B) 11
(C) 17
(D) 25
(E) 30
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12 Nov 2015, 06:14
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Bunuel
His payment is in Multiples of 25 cents
Payment Required is in Multiples of 55 cents
No left over means, Payment Done = Payment Required
i.e. 25x = 55y
i.e. 5x = 11y
i.e. Minimum value of x = 11 (co-efficient of y)
and Minimum value of y = 5 (co-efficient of x)
i.e. Minimum Value of x = 11
Answer: option B
12 Nov 2015, 02:57
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Let the number of seashells sold by Jamie = x
and the number of paperback books sold = y
Selling price of seashells = 25 cents
Buying price of seashells = 55 cents
Now since all the money earned selling seashells is used to buy the books
25x = 55 y
Prime fatorization of
25 = 5*5
55 = 11* 5
We need to find the LCM of the 2 numbers
LCM = 5^2 * 11
= 25 * 11
= 275
Least number of seashells sold , x = 275/ 25 = 11
Answer B
and the number of paperback books sold = y
Selling price of seashells = 25 cents
Buying price of seashells = 55 cents
Now since all the money earned selling seashells is used to buy the books
25x = 55 y
Prime fatorization of
25 = 5*5
55 = 11* 5
We need to find the LCM of the 2 numbers
LCM = 5^2 * 11
= 25 * 11
= 275
Least number of seashells sold , x = 275/ 25 = 11
Answer B
