Malik collects rare stamps and has a total of 212 stamps. He has 34 more domestic stamps than foreign stamps. Let x represent the number of domestic stamps and let y represent the number of foreign stamps. Which equation represents the total number of stamps Malik collected? Which equation represents the difference in the number of foreign and domestic stamps Malik collected? Which system of linear equations represents the situation?
Answers
Answer:
x - y = 34 and x + y = 212
Step-by-step explanation:
The answer that represents the total number of stamps that Malik has collected is: x + y = 212.
The equation that represents the difference in the number of foreign and domestic stamps Malik collected is: x - y = 34.
The System of Linear Equations that represent the situation is: x - y = 34 and x + y = 212.
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Given : Malik collects rare stamps and has a total of 212 stamps
He has 34 more domestic stamps than foreign stamps.
To Find: Which equation represents the total number of stamps Malik collected
equation represents the difference in the number of foreign and domestic stamps Malik collected
How many foreign stamps does Malik have?
How many domestic stamps does Malik have?
Solution:
domestic stamps = x
foreign stamps = y
total of 212 stamps
equation represents the total number of stamps Malik collected
x + y = 212
34 more domestic stamps than foreign stamps.
x = y + 34
equation represents the difference in the number of foreign and domestic stamps Malik collected
=>x - y = 34
system of linear equations represents the situation
Equate x
y + 34 = 212 - y
=> 2y = 178
=> y = 89
x = y + 34 = 89 + 34 = 123
Hence domestic stamps = 123
foreign stamps = 89
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