Hannah and Francine have $120. Hannah and Peter have $230. Peter has 6 times as much money as Francine. How much money does Hannah have?
h+f = 120
h+p = 230
p = 6f
h+6f = 230
h+6(120-h) = 230
h+720-6h = 230
-5h = -490
h = 98
h+f = 120
h+p = 230
p = 6f
h+6f = 230
h+6(120-h) = 230
h+720-6h = 230
-5h = -490
h = 98
Gee, will ppl plz post
better answers, I mean like, what's 6f? Ikm a 4th grader and need to learn this!
To find out how much money Hannah has, we'll need to use algebra and create equations based on the given information.
Let's assume H represents the amount of money Hannah has.
Since Peter has 6 times the amount of money as Francine, we can let F represent the amount of money Francine has. Therefore, Peter has 6F dollars.
The first piece of information tells us that Hannah and Francine have a total of $120, so we can set up the equation:
H + F = 120
The second piece of information states that Hannah and Peter have a total of $230, so we can set up the equation:
H + 6F = 230
Now we have a system of two equations with two variables. We can solve this by substitution or elimination.
First, multiply the first equation by 6 to make the coefficients of H in both equations the same.
6(H + F) = 6(120)
6H + 6F = 720
Now we can subtract this new equation from the second equation to eliminate the H variable:
(6H + 6F) - (H + 6F) = 720 - 230
5H = 490
Divide both sides of the equation by 5 to solve for H:
H = 490 / 5
H = 98
Therefore, Hannah has $98.