Question

Malik collects rare stamps and has a total of 96 stamps. He has 24 more domestic stamps than foreign stamps. Let d represent the number of domestic stamps and let f represent the number of foreign stamps.

This system of equations models the given information for both stamp types.

d – f = 24

d + f = 96

Solve the system of equations.

How many foreign stamps does Malik have?

number of foreign stamps
How many domestic stamps does Malik have?

number of domestic stamps

Answer 1

Answer: d=60 and f=36
There are 60 domestic stamps and 36 foreign stamps.

Use the elimination method to solve


d-f=24
-d+f=96
_______

Line them up and them subtract


-2f=-72

The d cancel out

Isolate f by dividing both sides by -2

f=36


Replace f with 36 in either equation and then solves


d-(36)=24

Isolate d by adding both sides by 36

d=60

Answer 2

Domestic Stamps: 60

Foreign Stamps: 36

Explanation:

96 - 24 = 72

72 ÷ 2 = 36

36 + 24 = 60

d - f = 24

60 - 36 = 24

24 = 24

d + f = 96

60 + 36 = 96

96 = 96