Write a proportion for each phrase. Then solve. When necessary, round to the nearest hundredth.
75 points scored in 6 games; p points scored in 4 games
75/6 = p/4
Cross multiply.
6p = 300
p = 300/6
p = ?
50
To write a proportion, we need to set up a relationship between the two quantities. In this case, we are comparing the number of points scored in 6 games (75 points) to the number of points scored in 4 games (p points). The proportion can be written as:
75/6 = p/4
To solve for p, we need to cross multiply and then solve for the unknown variable. The equation becomes:
6p = 75 * 4
Now, multiply 75 by 4:
6p = 300
Finally, divide both sides of the equation by 6 to isolate p:
p = 300/6
p = 50
Therefore, the number of points scored in 4 games (p) would be 50.