"Molly had (4x + 10) dollars. Ron has (-5x + 20) dollars. How much money do they have all together?"
For this part I got -x + 30 dollars, but the problem comes when I see the next part:
"How much more money does Molly have than Ron?"
Now how to I calculate that?
To calculate how much more money Molly has than Ron, you need to subtract Ron's amount from Molly's amount.
Molly's amount is given as (4x + 10) dollars, and Ron's amount is given as (-5x + 20) dollars.
Therefore, to find out how much more money Molly has than Ron, you can subtract Ron's amount from Molly's amount:
Molly's amount - Ron's amount = (4x + 10) - (-5x + 20)
To subtract (-5x + 20), you can use the distributive property by distributing the negative sign:
Molly's amount - Ron's amount = (4x + 10) + (-1)(-5x) + (-1)(20)
Simplifying further:
Molly's amount - Ron's amount = 4x + 10 + 5x - 20
Combining like terms:
Molly's amount - Ron's amount = (4x + 5x) + (10 - 20)
Molly's amount - Ron's amount = 9x - 10
Therefore, Molly has 9x - 10 dollars more than Ron.
To calculate how much money Molly has compared to Ron, you need to subtract Ron's money from Molly's money.
First, let's simplify both expressions:
Molly's money: 4x + 10
Ron's money: -5x + 20
To find how much money Molly has compared to Ron, you subtract Ron's money from Molly's money:
(Molly's money) - (Ron's money) = (4x + 10) - (-5x + 20)
To subtract the expressions in parentheses, distribute the negative sign to every term inside the parentheses:
= 4x + 10 + 5x - 20
Combine like terms:
= (4x + 5x) + (10 - 20)
= 9x - 10
Therefore, Molly has 9x - 10 dollars more than Ron.
subtract them, just like you added:
4x + 10 - (-5x +20)
The minus turns (-5x + 20) into the opposite, or 5x - 20
4x + 10 + 5x - 20
9x - 10