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# Twenty Percent of Country Y's Yearly exports come from fruit exports.

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Re: Twenty Percent of Country Y's Yearly exports come from fruit exports. [#permalink]
Bunuel wrote:
ninayeyen wrote:
Twenty percent of Country Y's yearly exports come from fruit exports. One-sixth of all fruit exports from Country Y are orange exports. If country Y generates $4.25 million from its orange exports, how much money does it generate from its yearly total of exports? A)$21.25m
B) $25.5m C)$106.25m
D) $127.5m E)$153m

2/10*1/6*(total) = 4.25

1/30*(total) = 4.25

(total) = 4.25*30 = 127.5

Thank you for your help Bunuel. I see its a pretty straightforward solution. thanks
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Re: Twenty Percent of Country Y's Yearly exports come from fruit exports. [#permalink]
vardhanindaram wrote:
Let the total exports be x
Fruit exports =20x/100=x/5.
Orange exports = (1/6)(x/5)=$4.25m Therefore x=$127.5m

Thanks Vardhanindaram! Thanks also for breaking it down. I was able to solve it on my own to the thord stop 1/6 of 1/5 but for some reason got stuck there. Thank you
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Re: Twenty Percent of Country Y's Yearly exports come from fruit exports. [#permalink]
ninayeyen wrote:
Twenty percent of Country Y's yearly exports come from fruit exports. One-sixth of all fruit exports from Country Y are orange exports. If country Y generates $4.25 million from its orange exports, how much money does it generate from its yearly total of exports? A)$21.25m
B) $25.5m C)$106.25m
D) $127.5m E)$153m

income(.20) = fr (income from fruit)

fr (1/6) = 4.25 therefore 4.25 x 6 = fr
2550= fr

income(.20)= 2550
income= 2550/.20
income= 127.5 million

Thus
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Re: Twenty Percent of Country Y's Yearly exports come from fruit exports. [#permalink]
ninayeyen wrote:
Twenty percent of Country Y's yearly exports come from fruit exports. One-sixth of all fruit exports from Country Y are orange exports. If country Y generates $4.25 million from its orange exports, how much money does it generate from its yearly total of exports? A)$21.25m
B) $25.5m C)$106.25m
D) $127.5m E)$153m

Let total Exports be 60
Fruit Exports = 12
Orange Exports = 2

Now, if 2 represents - $4.25 So, 1 represents -$ $$\frac{4.25}{2}$$
And, 60 represents - $$$\frac{4.25}{2}$$*60 =$ 127.5

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Re: Twenty Percent of Country Y's Yearly exports come from fruit exports. [#permalink]
ninayeyen wrote:
Twenty percent of Country Y's yearly exports come from fruit exports. One-sixth of all fruit exports from Country Y are orange exports. If country Y generates $4.25 million from its orange exports, how much money does it generate from its yearly total of exports? A)$21.25m
B) $25.5m C)$106.25m
D) $127.5m E)$153m

We are given that twenty percent of Country Y's yearly exports come from fruit exports.

If we let n = the total value of exports, we have:

0.2n = fruit exports

We are also given that 1/6 of all fruit exports are orange exports; thus:

(1/6)(0.2n) = orange exports

(1/6)(0.2n) = 4,250,000

0.2n = 25,500,000

n = 127,500,000