alan, gil, and deb's point in a video game was in the ratio 2:3:4.deb scored 114400 points. how many points did gill score? how many points did they score in all
PLEASE HELP but can you make your answer so that I can understand I am in 6th grade but I am not the that smart,
PLEASE you would be so helpful to me
PLASE HELP ME
Don't know if they teach you algebra where you are.
Think of the points being split into 9 parts, where Alan would get 2 parts, Gil would get 3 parts and Debbie 4 parts
So for her 2 parts deb got 114400/4 = 28600 per part
so the total number of points = 9(28600) = 257400
in algebra:
Alan : Gil : Deb = 2x : 3x : 4x
for a total of 9x
but 4x = 114400
x = 28600
and 9x = 9(28600) = 257400
Sure! I'll break down the problem to help you understand how to find the answers.
We are given that Alan, Gil, and Deb's points are in the ratio 2:3:4. This means that for every 2 points Alan scores, Gil scores 3 points, and Deb scores 4 points.
We are also given that Deb scored a total of 114400 points.
To find out how many points Gil scored, we can set up a proportion using the ratio. We know that for every 2 points Alan scores, Gil scores 3 points. So we can write the proportion as:
(Alan's points) / (Gil's points) = 2/3
Since we are given that Deb scored 114400 points, we can say that Deb's points is equal to 4 times Gil's points:
Deb's points = 4(Gil's points)
Now we can substitute this information into the proportion:
4(Gil's points) / (Gil's points) = 2/3
To solve for Gil's points, we need to cross multiply and then solve for Gil's points:
4(Gil's points) = (Gil's points) * (2/3)
Multiply both sides by 3 to get rid of the fraction:
12(Gil's points) = 2(Gil's points)
Now subtract 2(Gil's points) from both sides:
10(Gil's points) = 0
Divide both sides by 10:
Gil's points = 0
Uh-oh! It seems like there was an error in the calculations. Let's double-check our steps.
Since we know that Deb scored 114400 points, we can set up the equation again:
Deb's points = 4(Gil's points)
114400 = 4(Gil's points)
Divide both sides by 4:
28600 = Gil's points
So Gil scored 28600 points in the game.
Now, to find the total number of points scored by all three players, we can add up their individual scores:
Alan's points + Gil's points + Deb's points = Total points
Since we don't have the actual values for Alan's points, we'll just use the ratio to set it up. Let's call Alan's points "x".
So, using the ratio 2:3:4, we can write the equation:
2x + 3x + 4(114400) = Total points
Combine like terms:
2x + 3x + 457600 = Total points
Simplify:
5x + 457600 = Total points
And that's how you set up the equation to find the total number of points scored by all three players. However, without the value for Alan's points, we can't find the exact total.