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amocana 2. moswavleTa sazafxulo banakma SeiZina 1490 laris Rirebulebis<br />
oTxadgiliani da eqvsadgiliani 16 karavi. erTi oTxadgiliani karvis fasia<br />
80 lari, xolo eqvsadgilianisa 110 lari. ramdeni oTxadgiliani da ramdeni<br />
eqvsadgiliani karavi SeiZina banakma?<br />
amoxsna:<br />
1. sityvieri modeli:<br />
oTxadgilian<br />
karvebSi<br />
gadaxdili<br />
Tanxa<br />
eqvsadgilian<br />
karvebSi<br />
gadaxdili<br />
Tanxa<br />
+ =<br />
2. ucnobis Semotana da monacemebTan dakavSireba:<br />
mTliani<br />
Tanxa<br />
vTqvaT, oTxadgiliani karavi x cali iyides. maSin eqvs adgi lians<br />
(16- x ) cals iyididnen. oTxadgilian karvebSi gadaixdid nen 80x lars,<br />
eqvsadgilianebSi _ 110(16- x ) lars. yvela karavSi erTad gadaixdidnen<br />
(80 x + 110(16- x )) lars.<br />
1. gantolebis Sedgena:<br />
80 x + 110 (16- x ) = 1490<br />
2. gantolebis amoxsna; 80x+ 1760 − 110x= 1490<br />
− 30x =−270<br />
x = 9<br />
5. pasuxi: banakma SeiZina 9 oTxadgi li ani da 7 eqvsadgiliani karavi.<br />
ganxiluli amocanis amoxsnisas ganto lebis Sedgena gagiadvildeba, Tu<br />
Seadgen cxrils.<br />
oTxadgiliani<br />
karvebi<br />
eqvsadgiliani<br />
karvebi<br />
karvebis erTi karvis yvela karvis<br />
raodenoba Rirebuleba Rirebuleba<br />
x 80 80x<br />
16–x 110 110(16–x)<br />
amocana 3. erT benzingasamarT sadgurs 2 300 litri benzini hqonda,<br />
meores _ 2800 litri. dRis ganmavlobaSi meore sadguridan gaiyida<br />
xuTjer meti benzini, vidre pirvelidan, ris Semdeg orive benzingasamarT<br />
sadgurSi Tanabari raodenobis benzini aRmoCnda. ramdeni litri benzini<br />
gaiyida TiToeuli sadguridan?<br />
amoxsna:<br />
1. sityvieri modeli<br />
pirvel sadgurSi<br />
darCenili benzini<br />
=<br />
meore sadgurSi<br />
darCenili benzini<br />
Tavi 4 • erTwevri da mravalwevri 233
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