# Word Problem - Points Scored

by SANDRA BOYKIN
(RALEIGH NC)

SUE SCORED A TOTAL OF 35 POINTS IN TWO GAMES.

SHE SCORED 6 TIMES AS MANY POINTS IN THE SECOND GAME AS IN THE FIRST.

HOW MANY MORE POINTS DID SHE SCORE IN THE SECOND GAME?

### Comments for Word Problem - Points Scored

 Oct 24, 2013 Solve for Points Scored by: Staff Answer Part I x = points scored in game 1 y = points scored in game 2 SUE SCORED A TOTAL OF 35 POINTS IN TWO GAMES x + y = 35 SHE SCORED 6 TIMES AS MANY POINTS IN THE SECOND GAME AS IN THE FIRST. y = 6x there are two equations and two unknowns --------------------------------------------------

 Oct 24, 2013 Solve for Points Scored by: Staff -------------------------------------------------- Part II to solve for x, substitute 6x for the value of y in the first equation, and then combine like terms x + y = 35 y = 6x x + 6x = 35 7x = 35 divide each side of the equation by 7 7x = 35 7x / 7 = 35 / 7 (7 / 7) * x = 35 / 7 (1) * x = 35 / 7 x = 35 / 7 x = 5 points --------------------------------------------------

 Oct 24, 2013 Solve for Points Scored by: Staff -------------------------------------------------- Part III solve for y substitute the 5 for the value of x in either one of the two original equations I'll use the second equation y = 6x y = 6 * 5 y = 30 --------------------------------------------------

 Oct 24, 2013 Solve for Points Scored by: Staff -------------------------------------------------- Part IV HOW MANY MORE POINTS DID SHE SCORE IN THE SECOND GAME? additional points = y - x additional points = 30 - 5 additional points = 25 points the final answer 5 points scored in the first game 30 points scored in the second game Sue scored 25 additional points in the second game Thanks for writing. Staff www.solving-math-problems.com