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

Domestic Stamps: 60

Foreign Stamps: 36

Step-by-step 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

step-by-step explanation:

you can add the two numbers and divide the result by 2. or you can find the gap between the two numbers and add half of this to the smaller number.

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places