The correct question is <span>Sakura speaks 150 words per minute on average in hungarian, and 190 words per minute on average in polish. she once gave cooking instructions in hungarian, followed by cleaning instructions in polish. sakura spent 5 minutes total giving both instructions, and spoke 270 more words in polish than in hungarian. how long did sakura speak in hungarian, and how long did she speak in polish?</span>
Let x------> total words spoken by sakura in hungarian------> 150 words /minute y------> total words spoken by sakura in polish-----------> 190 words /minute
we know that (x/150)+(y/190)=5--------- > equation 1 y=270 +x-------------------- > equation 2 <span>substituting 2 in 1 (x/150)+(270+x)/190=5
</span><span>multiplying all the expression by (150)*(190) </span>190x+150*(270+x)=5*190*150 190x+40500+150x=142500 340x=102000-------------- > x=300 x=300 ------------- > total words spoken by sakura in hungarian y=270+x=270+300=570 y=570 ----------- > total words spoken by sakura in polish
the question is <span>how long did sakura speak in hungarian, and how long did she speak in polish? </span> y=570 words in polish-------------------> 190 words /minute
if 190 words-----------------------------> 1 minute 570 words-------------------------- X X=570/190=3 minutes In polish Sakura spoke 3 minutes
x=300 words in hungarian-------------------> 150 words /minute
if 150 words-----------------------------> 1 minute 300 words-------------------------- X X=300/150=2 minutes