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

Answer:

$S : T = 5 : 8$

Step-by-step 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