Question

HELP!!!

MEDAL!!

CREATE A MODEL (LINEAR EQUATION) AND SOLVE!
In a recent basketball game between the Storm and the Chargers the numbers of points scored by the Storm in the first half was equal to the number of points scored by the Chargers in the second half of the game. In the first half the Storm scored one-fourth the total points scored in the game. During the second half the Chargers scored 16 points less than one-third the points scored in the game. How many total points were scored during the game?

Answer 1

@sammixboo

Answer 2

@dumbcow

Answer 3

@Kat_Caca_1996

Answer 4

Let s and c represent the points scored for each team so total = s+c
further we need to tell difference between 1st half and 2nd half points
lets use s1,s2 and c1,c2
s = s1+s2
c = c1 +c2

we are given:
s1 = c2
s1 = 1/4(s+c)
c2 = 1/3(s+c) - 16

we can set s1 and c2 equal
---> 1/4(s+c) = 1/3(s+c) - 16

solve for "s+c" , treat it like a single variable

Answer 5

isn't s 1/4

Answer 6

I am confused

Answer 7

C=16-1/3

Answer 8

am i correct

Answer 9

no change the letters..... s+c = total = t

\[\frac{1}{4}t = \frac{1}{3} t - 16\]

Answer 10

ohh

Answer 11

and what do i do next

Answer 12

wait does t=-192

Answer 13

solve for t using algebra

get t terms on same side

\[\frac{1}{3} t - \frac{1}{4}t = 16\]

Answer 14

yep well close , you cant have negative points

Answer 15

so wht do i do next

Answer 16

how did you get 192 , it is correct

Answer 17

1. I multiplied both sides by 12
I moved all terms to one side
I Simplified 3t−4t+192 to −t+192
Subtract 192 from both sides
Multiply both sides by −1

Answer 18

that is what i did

Answer 19

very good, that is correct way to solve for t

Answer 20

thnx