Question

Lance lived in Portugal and Brazil for a total of 14 months to learn Portuguese. He learned an average of 130 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 write a system of equations to represent this situation. Usex to represent Portugal, and y to represent Brazil.

Answer 1

Answer:

The right answer should be x+y=14  for both equations.

Step-by-step explanation:

Answer 2

The system of equations to represent the considered situation for Lance is x+y=14 and 130x + 150y = 1920

How to form mathematical expression from the given description?

You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.

We're provided that:

• x = number of months Lance lived in Portugal
• y = number of months Lance lived in Brazil
• x+y = total time he lived in both these countries = 14 months.
• He learned an average of 130 words per month when he lived in Portugal, and
• An average of 150 new words per month when he lived in Brazil.
• Total 1920 words he learned while living in these two countries.

So, for Portugal, as he learned 130 words/month for x months, therefore he learned total $130 \times x$ words

Similarly, he learned $150 \times y$ words in Brazil.

And their total is 1920, or:

$130x + 150y = 1920$

(multiplication sign is often hidden when variables are used).

Thus, we obtained a system of two equations, as:

$x+y=14\\130x + 150y = 1920$

Learn more about forming equations here:

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