please help me write the equation and solve for it.
1).in a basketball game, eric made half as many free throws as dan. if the total number of free throws made by both men was 18, how many free theows did eric make?
E = Eric
E + 2E = 18
3E = 18
E = 18/3
E = ?
Step 1: Eric = 1/2 of Dans; Eric + Dan = 18
Step 2: 12 + 6 = 18
Step 3: Eric has to be 6 because half of 12 is 6 and when you add them together you 18.
Step 4: Equation- Part A: D = 12; E = 1/2D; T= 18.
Equation- Part B: E + D = T
so... 1/2D + D = 18!!!!
enjoy!
To solve this problem, let's represent the number of free throws Dan made as "x."
Since Eric made half as many free throws as Dan, the number of free throws Eric made is "1/2x."
According to the problem, the total number of free throws made by both men was 18. Therefore, we can set up the equation:
x + (1/2x) = 18
To solve the equation, we need to eliminate the fraction. We can do this by multiplying the entire equation by 2 to clear the fractional term:
2x + x = 36
Combining like terms, we have:
3x = 36
To solve for x, we divide both sides of the equation by 3:
3x/3 = 36/3
x = 12
So, Dan made 12 free throws.
To find the number of free throws Eric made, we substitute the value of x back into the equation:
Eric = (1/2x) = (1/2 * 12) = 6
Therefore, Eric made 6 free throws.