word problem

Question

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?

Answer 1

Hi Kenzi,

Let Sakura speaks Hungarian H words

She spoke 270 more words in polish than Hungarian so

she spoke Polish (H+270)words.

 she spoke 150 Hungarian words in 1 min, so for H words, H/150   Min,

                 190 Polish words in 1 min, so for H+270 words, H+270/190  min.

 

Total Sakura spoke for 5 min,    H/150 + (H +270)/190 =5

solving this eq ,we get 19H +15H +270*15 = 50*15*19

                                  34H = 50*15*19 - 270*15

                                   34H = 150(95-27)

                                   34H =150*68

                                       H =150*68/34 = 300, She spoke 300 Hungarian words,300/150=2 it would take 2 min,

she spoke H+270= 300+270= 570 Polish words, it would take 570/190= 3 min

Answer 2

let x = minutes speaking hungarian

let y = minutes speaking polish

 

x + y = 5   (total number of minutes

 

190y -150x = 270  (she spoke 270 more words in polish

 

now you have two equations with two unknowns and you should be able to find the values for x and y

 

Hope this helps.

 

Tom