Question

1. in football, if a team scores twice as many points in the second half as in the first half, is 42 points, how many points were scored in each half?

Explanation:

Step1: Define variables

Let the points scored in the first half be $x$. Then the points scored in the second half are $2x$.

Step2: Set up equation

The total points are the sum of points in both halves, so $x + 2x = 42$.

Step3: Solve the equation

Combine like terms: $3x = 42$. Then divide both sides by 3: $x=\frac{42}{3}=14$. So the points in the first half are 14, and in the second half are $2\times14 = 28$.

Answer:

First half: 14 points, Second half: 28 points