Does this look right?
Mike runs twice as far as Jim, but Phillip runs three times as far as Jim. If the three of them run a total of 24 miles, how far does each man run?
2m + j = 24
3p + j = 24
I am so wrong aren't I? Can someone help me, please??
You are so wrong.
M=2J
P=3J
M+P+J=24
lol, I figured. i am so confused I hate word problems, ok can i post another one and see if I can get it??
TastyBake bakery sells three times as many chocolate donuts as plain glazed donuts, but only half as many as jelly-filled donuts. If they sold 40 dozen donuts, how many of each type did they sell?
x = chocolate
y = plain
z = jelly
y = 3x
z = 1/2x
x + y + z = 40
How was that???
NO.
C=3P
J=1/2 P
J+C+P=40
No, you're not completely wrong, but the equations you wrote are not correct. Let's break down the problem and then I'll guide you on how to set up the correct equations.
We're given three people: Mike, Jim, and Phillip. The problem states that Mike runs twice as far as Jim, and Phillip runs three times as far as Jim. We're also told that the total distance covered by the three of them is 24 miles.
To solve this problem, we need to set up equations based on the given information and then solve them simultaneously.
Let's define some variables:
- Let's say the distance Jim runs is represented by "j."
- Since Mike runs twice as far as Jim, the distance he runs would be "2j."
- Similarly, Phillip runs three times as far as Jim, so the distance he runs would be "3j."
Now we can set up an equation based on the total distance:
j + 2j + 3j = 24
Combining like terms, we get:
6j = 24
To find the value of "j," we divide both sides of the equation by 6:
j = 24 / 6
j = 4
Now we know that Jim runs 4 miles. We can substitute this value back into the other equations to find the distances run by Mike and Phillip:
- Mike's distance: 2j = 2 * 4 = 8 miles
- Phillip's distance: 3j = 3 * 4 = 12 miles
So, to answer your question, Jim runs 4 miles, Mike runs 8 miles, and Phillip runs 12 miles.