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Yakvenalex [24]
3 years ago
10

Ivan and Tanya share £150 in the ration 4 : 1

Mathematics
1 answer:
VLD [36.1K]3 years ago
7 0

Add the ratio to get total shares: 4 +1 = 5

Divide the total amount to share by the total shares:

150 / 5 = 30

Now multiply each set of shares by that:

4 x 30 = 120

1 x 30 = 30

120-30 = 90 more

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Wolfrich lived in portugal and brazil for a total period of 14 monthsin order to learn portuguese. He learned an average of 130
levacccp [35]

Answer:

Wolfrich live in Portugal <u>9 months</u> and in Brazil <u>5 months</u>.

Step-by-step explanation:

Given:

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

He learned an average of 130 new words per month when he lived in portugal and an average of 150 new words per month when he lived in Brazil.

In total he learned 1920 new words.

Now, to find the months he live in Portugal and in Brazil.

Let the number of months he live in Portugal be x.

And let the number of months he lived in Brazil be y.

<u><em>So, total number of months:</em></u>

x+y=14

x=14-y\ \ \ ....(1)

<u><em>Now, the total words he learned:</em></u>

130x+150y=1920

Substituting the value of x from equation (1):

130(14-y)+150y=1920

1820-130y+150y=1920

1820+20y=1920

<em>Subtracting both sides by 1820 we get:</em>

<em />20y=1920-1820<em />

<em />20y=100<em />

<em>Dividing both sides by 20 we get:</em>

y=5.

<u><em>The number of months he lived in Brazil = 5 months</em></u>.

Now, substituting the value of y in equation (1):

x=14-y\\\\x=14-5\\\\x=9.

<u><em>The number of months he lived in Portugal = 9 months.</em></u>

Therefore, Wolfrich live in Portugal 9 months and in Brazil 5 months.

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