Question

Rick and myra collects stamps. Rick has 150 fewer stamps than Myra. Together they have collected 500 stamps. How much stamps does each person have in their collection.how can I do it without using equations?

Answer 1

let
x---------> Rick's stamps
y--------> Myra's stamps

we know that
x+y=500-------> equation 1
x=y-150------> equation 2
substitute equation 2 in equation 1
[y-150]+y=500--------> 2y=500+150-------> y=650/2
y=325
x=y-150------> x=325-150-----> x=175

the answer is
Rick's stamps------> 175
Myra's stamps------> 325

this problem involves two variables, so you necessarily have to use a system of equations to solve it

Answer 2

The first thing we must do for this case is to define variables.
We have then:
x: number of stamps collected by Rick
y: number of stamps collected by Myra
We write the system of equations that models the problem:

`x = y - 150 x + y = 500`
Solving the system by substitution we have:

`(y-150) + y = 500 2y = 500 + 150 y = 650/2 y = 325`
Then, the value of x is:

`x = 325 - 150 x = 175`
Answer:
each person have in their collection:
Myra: 325
Rick: 175