Question

The New England patriots scored 9 points in the first half. In the second half they scored 3 less than 2 times the points in the first half. What is the ratio of of the points and scored in the second half to the total number of points scored

Answer 1

`S : T = 5 : 8`

Explanation:

Represent the first half with F and the second with S

We have that:

`F = 9` --- From the first statement

`S = 2F - 3` --- From the next statement

Required

Determine the ratio of S to the total point

First, we need to determine the value of S

Substitute 9 for F in
`S = 2F - 3`

`S = 2 * 9 - 3`

`S = 18 - 3`

`S = 15`

Next, we determine the total points

`Total = F + S`

`Total = 9 + 15`

`Total = 24`

The ratio of S to total is: (Represent total with T)

`S : T = 15 : 24`

Divide both ration by 3

`S : T = 15/3 : 24/3`

`S : T = 5 : 8`

Hence, the ratio is 5 to 8