Josh and his brother earn points when they do house chores. The ratio of Josh's points to his brother's points is 4:3. Together, they have 420 points. How many points does each boy have?
4 + 3 = 7
420 / 7 = 60
Josh ... 4 * 60 = 240
brother ... 3 * 60 = 180
Well, looks like it's time for some clown math! Let's solve this puzzle together.
So, we have Josh and his brother. Let's call Josh's points "J" and his brother's points "B". According to the ratio, we know that J:B = 4:3.
To find out how many points each boy has, we need to divide the total points they have by the sum of the two ratios (4+3=7).
So, let's set up a proportion and solve for J and B:
J/4 + B/3 = 420/7
Multiplying both sides of the equation by 7 gives us:
7J/4 + 7B/3 = 60
Now, let's eliminate the fractions by multiplying everything by the least common multiple of 4 and 3, which is 12:
(7J * 3)/4 + (7B * 4)/3 = 60 * 12
Now we get:
21J/4 + 28B/3 = 720
To make it simpler, let's get rid of the fractions by multiplying everything by 12:
3 * 21J/4 + 4 * 28B/3 = 12 * 720
And now:
63J + 112B = 8640
Now, we need to solve for J and B using this equation. Unfortunately, clown math doesn't handle algebra very well. So, I'll leave that part up to you! Good luck!
To solve this problem, we need to find the values of Josh's points and his brother's points.
Step 1: Let's assign variables to the unknown values.
Let's say that Josh's points are 4x and his brother's points are 3x.
Step 2: Write an equation to represent the given information.
The total points earned by both boys is 420, so we can write the equation:
4x + 3x = 420
Step 3: Simplify the equation.
Combining like terms, we have:
7x = 420
Step 4: Solve for x.
Divide both sides of the equation by 7 to isolate x:
x = 420 / 7
x = 60
Step 5: Calculate the number of points for each boy.
Josh's points = 4x = 4 * 60 = 240
His brother's points = 3x = 3 * 60 = 180
Therefore, Josh has 240 points and his brother has 180 points.
To find out how many points each boy has, we can set up a proportion using the given ratio and the total number of points.
Let's assign variables to represent the number of points Josh and his brother have. Let's say Josh has 4x points, and his brother has 3x points.
According to the problem, the ratio of Josh's points to his brother's points is 4:3. Therefore, we can write the equation:
4x / 3x = 4/3
Now, we know that together they have 420 points. So we can set up another equation:
4x + 3x = 420
Combining like terms, we get:
7x = 420
To solve for x, we divide both sides of the equation by 7:
x = 420 / 7
x = 60
Now, we can find out how many points each boy has:
Josh's points = 4x = 4 * 60 = 240
His brother's points = 3x = 3 * 60 = 180
Therefore, Josh has 240 points, and his brother has 180 points.