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Korolek [52]
3 years ago
7

Wolfrich lived in Portugal and Brazil for a total period of 14 months in order to learn Portuguese.

Mathematics
2 answers:
Allushta [10]3 years ago
4 0

<em>We let...</em>

<em>x as the number of months he spent in Portugal</em>

<em>y as the number of months he spend in Brazil</em>

<em>From the problem, we can generate the following equations</em>

<em>x + y = 14</em>

<em>130x + 150y = 1920</em>

<em>Solving the equation gives us</em>

<em>x = 9 months in Portugal</em>

<em>y = 5 months in Brazil</em>


quester [9]3 years ago
4 0

Answer: He lived in Portugal for 9 months and in Brazil for 5 months.

Step-by-step explanation:

Let the number of months he lived in Portugal be 'x'.

Let the number of months he lived in Brazil be 'y'.

Total number of months = 14

Average new words per month when he lived in Portugal = 130

New words in x months = 130x

Average new words per month when he lived in Brazil = 150

New words in y months = 150y

Total new words = 1920

So, our equation would be

x+y=14-------(1)\\\\130x+150y=1920-------------(2)

Let x = 14-y from equation 91).

Now, we put this value in equation (2).

130(14-y)+150y=1920\\\\1820-130y+150y=1920\\\\1820+20y=1920\\\\20y=1920-1820\\\\20y=100\\\\y=5

if y = 5

then, x= 14-5 = 9

Hence, he lived in Portugal for 9 months and in Brazil for 5 months.

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