document.write( "Question 1193893: Basket G and Basket H have a total of 284 lollipops. After 43 lollipops were transferred from Basket G to Basket H, there were 3 times as many lollipops in Basket H as Basket G. How many lollipops were there in (a) Basket G and (b) Basket H respectively at first? \n" ); document.write( "

Algebra.Com's Answer #825931 by ikleyn(52867) $\"\"$ $\"About$

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\n" ); document.write( "Basket G and Basket H have a total of 284 lollipops.
\n" ); document.write( "After 43 lollipops were transferred from Basket G to Basket H,
\n" ); document.write( "there were 3 times as many lollipops in Basket H as Basket G.
\n" ); document.write( "How many lollipops were there in (a) Basket G and (b) Basket H respectively at first?
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document.write( "Since the transfer was between baskets G and H and nothing was transferred outside, \r\n" );
document.write( "as well as nothing was transferred from outside, the total sum of 284 lollipops was unchangeable.\r\n" );
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document.write( "So after transfer, there were total 284 lollipops in basket G and basket H,\r\n" );
document.write( "and were there 3 times as many lollipops in basket H as in basket G.\r\n" );
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document.write( "It implies that after transfer, were there 284/4 = 71 lollipops in basket G\r\n" );
document.write( "and 71*3 = 213 lollipops in basket H.\r\n" );
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document.write( "Hence, BEFORE the transfer, were there 71 + 43 = 114 lollipops in basket G\r\n" );
document.write( "and 213 - 43 = 170 lollipops in basket H.\r\n" );
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document.write( "ANSWER.   At first, there were  (a)  114 lollipops in basket G and (b) 170 lollipops in basket H.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved MENTALLY, without using any equations.\r
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\n" ); document.write( "\n" ); document.write( "So, even a 4th grade young student may solve it in this way, \r
\n" ); document.write( "\n" ); document.write( "who even knows nothing about equations, but has living mind.\r
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\n" ); document.write( "\n" ); document.write( "As a reward, he (or she) will get a piece of happiness for beautiful solution of the problem,\r
\n" ); document.write( "\n" ); document.write( "and will learn a beauty of Math.\r
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\n" ); document.write( "\n" ); document.write( "The method is called \" solving backward \".\r
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