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Question

James bought 161 more red balls than blue balls. After selling 6/7 of the red balls and half of the blue balls, he had 113 balls left. How many balls did he sell?

 

Answer

Thanks!  Here’s my attempt using simultaneous equations.

R – B = 161 …(1)

(1/7)R + (1/2)B = 113
R + (7/2)B = 113*7
R + (7/2)B = 791 …(2)

(2) – (1):
(9/2)B = 630
B = 140
So, R = 301
Total balls sold = 140 + 301 – 113 = 328 #

0 Replies 2 Likes ✔Accepted Answer

R  [ —–u———][161]

B  [——u———]

After selling 6/7 Red balls and 1/2 Blue balls,

1/7 (u +161 ) + (1/2)u = 113

2(u+161) + 7u = 113 x 14 = 1582

9u + 322 = 1582    =>  u = 1260/9 = 140

Total balls sold = 2 x 140 + 161 – 113 = 328

 

 

 

2 Replies 2 Likes

Thanks for the answer. 

0 Replies 1 Like

Thanks!  Here’s my attempt using simultaneous equations.

R – B = 161 …(1)

(1/7)R + (1/2)B = 113
R + (7/2)B = 113*7
R + (7/2)B = 791 …(2)

(2) – (1):
(9/2)B = 630
B = 140
So, R = 301
Total balls sold = 140 + 301 – 113 = 328 #

0 Replies 2 Likes ✔Accepted Answer
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