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The table above shows the amount of waste material, in tons [#permalink]

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01 Nov 2009, 13:13

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Difficulty:

55% (hard)

Question Stats:

61% (02:26) correct
39% (01:37) wrong based on 436 sessions

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Country ---Amount Recycled---------Amount Disposed of A------------16,700-------------------- 142,800

B-------------8,800----------------------48,000

C------------13,000----------------------51,400

D-------------3,900----------------------20,300

E-------------3,300----------------------16,200

The table above shows the amount of waste material, in tons, recycled by each of five counties in a single year and the amount of waste material, also in tons, that was disposed of in landfills by the five counties in that year. Which county had the lowest ratio of waste material disposed of to waste material recycled in the year reported in the table?

"If you want my advice, Peter," he said at last, "you've made a mistake already. By asking me. By asking anyone. Never ask people. Not about your work. Don't you know what you want? How can you stand it, not to know?" Ayn Rand

Country ---Amount Recycled---------Amount Disposed of A------------16,700-------------------- 142,800

B-------------8,800----------------------48,000

C------------13,000----------------------51,400

D-------------3,900----------------------20,300

E-------------3,300----------------------16,200

The table above shows the amount of waste material, in tons, recycled by each of five counties in a single year and the amount of waste material, also in tons, that was disposed of in landfills by the five counties in that year. Which county had the lowest ratio of waste material disposed of to waste material recycled in the year reported in the table? A. A B. B C. C D. D E. E

Question asks to determine lowest ratio of amount disposed / amount recycled.

(A) 142,800 / 16,700 = ~ 8 - 9

(B) 48,000 / 8,800 = ~ 6

(C) 51,400 / 13,000 = ~4

(D) 20,300 / 3,900 = ~ 5

(E) 16,200 / 3,300 = ~ 5

Answer: C.

My advice is before doing calculations estimate the numbers and start with the easiest. No need for exact numerical values, so good approximation will work in this case.
_________________

Re: The table above shows the amount of waste material, in tons [#permalink]

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03 Sep 2013, 06:13

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Hello members,

Since the purpose of this question is to practise estimation, I will explain here an interesting way. Start by multiplying denominator by 10 and see if numerator is greater than or less than denominator multiplied by 10. If numerator is less, half the (denominator*10) and see if it less or greater than the new numerator .

[162/33] , here 33x10=330, 330>162, 330/2=165, 165>162 (this means that numerator is around 4 times the denominator)

[203/39], here 39x10=390, 390>203, 390/2=195, 195<203 (this means that numerator is more than 5 times denominator)

[514/130], here 130x10=1300, 1300>514, 1300/2=650, 650 >514 (this means that numerator is less than 5 times and infact a little calculation will show that it is less than 4 times the numerator)

[480/88], here 88x10=880, 880>480, 880/2=440, 440<480 (this means that numerator is more than 5 times the denominator)

[1428/167], here 167x10=1670, 1670>1428, 1670/2=835, 835 < 1428 (this means that numerator is much more than 5 times the denominator)

By finding this strategy, we can see that [514][/130] yields the lowest fraction.

Re: The table above shows the amount of waste material, in tons [#permalink]

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21 Jul 2014, 11:35

Hi all,

Could someone help me with the phrasing? The question asks for the lowest ratio ... yet the right aswer is the highest ratio. I mean for A: there is 9:1 ... 9 waste to 1 recycled for C: there is 3:1 ... 3 waste to 1 recycled

I would assume that the higher number (9/1=9; 3/1=3) would mean a lower ratio. If you try to make sense of the ratio than the ratio is high e.g. 1:2 or 1:10 etc... the higher the recycled part the higher the ratio is.

Could someone help me with the phrasing? The question asks for the lowest ratio ... yet the right aswer is the highest ratio. I mean for A: there is 9:1 ... 9 waste to 1 recycled for C: there is 3:1 ... 3 waste to 1 recycled

I would assume that the higher number (9/1=9; 3/1=3) would mean a lower ratio. If you try to make sense of the ratio than the ratio is high e.g. 1:2 or 1:10 etc... the higher the recycled part the higher the ratio is.

Re: The table above shows the amount of waste material, in tons [#permalink]

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24 Sep 2015, 09:46

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