Question

Bria and Matt have a total of 400 stamps. Matt has three times as many stamps as Bria. Which system of equations can be used to find the number of stamps Bria has, b, and the number of stamps Matt has, m?

Answer 1

Answer: $b+m= 400$  

$m= 3b$      

Step-by-step explanation:

Let b be the number of stamps Bria has and m be the number of stamps Matt has.

Given : Bria and Matt have a total of 400 stamps.

i.e. No. of stamps Bria has + No. of stamps Matt has = 400

i.e. In terms of variables $b+m= 400$        (1)

Also, Matt has three times as many stamps as Bria.

i.e. No. of stamps Matt has = 3 x (No. of stamps Bria has )

i.e. In terms of variables $m= 3b$        (2)

From (1) and (2) , the system of equations can be used to find the number of stamps Bria has, b, and the number of stamps Matt has, m will be :_

$b+m= 400$  

$m= 3b$      

Answer 2

M= 400÷ 4b
b= 100 stamps