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Christina collects stamps. She has 47 stamps in all. She has 20 stamps from Europe. The number of African stamps is 2 times the number of Asian stamps. How many stamps from each of these three continents does he have?

User Johnmerm
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2 Answers

5 votes

Final answer:

To find how many stamps Christina has from each continent, we can set up a system of equations using the given information.

Christina has 20 stamps from Europe, 9 stamps from Asia, and 18 stamps from Africa.

Step-by-step explanation:

To find how many stamps Christina has from each continent, we can set up a system of equations using the given information. Let's assign variables to the number of stamps from each continent:

E = number of stamps from Europe

A = number of stamps from Asia

F = number of stamps from Africa

Now we can write the equations:

E + A + F = 47 (since Christina has a total of 47 stamps)

E = 20 (since Christina has 20 stamps from Europe)

F = 2A (since the number of African stamps is 2 times the number of Asian stamps)

Substituting the given values into the first equation, we have:

20 + A + 2A = 47

Combining like terms, we get:

3A + 20 = 47

Subtracting 20 from both sides, we get:

3A = 27

Dividing both sides by 3, we get:

A = 9

So, Christina has 20 stamps from Europe, 9 stamps from Asia, and 18 stamps from Africa.

User TheSpyCry
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x-Asian\ stamps\\2x-African\ stamps\\\\47-20=27\\\\x+2x=27\\3x=27\ \ \ \ |:3\\x=9\\\\2x=18\\\\He\ have\ 20\ stamps\ from\ Europe,\ 9\ from\ Asia\ and\ 18\ from\ Africa.
User Aorfevre
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