First, write an equation system based on the problem
An equation for "Jami and Mami together had 32" is
⇒ j + m = 32 (first equation)
An equation for "If Mami gives Jami 5, they'll have the same amount"
⇒ m - 5 = j + 5 (second equation)

Second, simplify the equation. I simplify the second equation
m - 5 = j + 5
m = j + 5 + 5
m = j + 10

Third, subtitute m with j+10 in first equation
j + m = 32
j + j + 10 = 32
2j + 10 = 32
2j = 22
j = 11

Fourth, subtitute j with 11 in second equation
m = j + 10
m = 11 + 10
m = 21

Jami had $11, Mami had $21

5 0

3 years ago

One number is 3 times a first number. A third number is 100 more than the first number. If the sum of the three numbers is 500,

Likurg_2 [28]

Let the first number be x.
Then the second number is 3x.
Then the third number is (x+100).
Sum of the numbers=500

x+3x+(x+100)=500
4x+(x+100)-500=0
5x=400
x=80
The first number is 80.
The second number is 240.
The third number is 180.

We can check by adding all three of those numbers together: 80+240+180 = 500

Hope this helps! If you have any questions just ask!

8 0

2 years ago