carrie, Sam and ester have a total of $570. Carrie has $80 more than sam and ester has 5 times as much as sam. How much does each of them have?
s + s + 80 + 5s = 570
7s = 570 - 80
7s = 490
s = 70
Sam has $70.
in the answer what does the "S" represent, i having a hard time understanding how you came up with the snswer
S = Sam
To find out how much each person has, let's assign variables to their amounts.
Let's say Sam has x dollars.
According to the given information, Carrie has $80 more than Sam, so Carrie has x + $80 dollars.
Ester has 5 times as much as Sam, so Ester has 5x dollars.
The sum of the amounts of money they have is $570, so we can create an equation:
x + (x + $80) + 5x = $570
Combining like terms:
7x + $80 = $570
Subtracting $80 from both sides:
7x = $490
Now, divide both sides of the equation by 7:
x = $70
So Sam has $70.
Plugging this value back into the expression for Carrie's amount:
Carrie = x + $80 = $70 + $80 = $150
And Ester has 5 times Sam's amount:
Ester = 5x = 5 * $70 = $350
Therefore, Sam has $70, Carrie has $150, and Ester has $350.