Question

Word Problem Need Help!!!

Chen, Juanati, and Lou went to the gym together to work out. Find how much each of the kids can leg-press given the following clues.

- Chen said that Juanita and Lou averaged 87 pounds .

- Juanita said that Chen ;e.g.-pressed 6 pounds more than Lou.

- Lou said that eight times Juanita's amount equal seven times Chen's amount.

Answer 1

C = L + 6 -->L = C - 6
7C = 8J -->7/8C = J
(J + L)/2 = 87

(7/8C + C - 6)/2 = 87
(7/8C + 8/8C - 6)/2 = 87 (multiply by 2)
7/8C + 8/8C - 6 = 174
15/8C = 174 + 6
15/8C = 180
C = 180 * 8/15
C = 1440/15
C = 96

C = L + 6
96 = L + 6
96 - 6 = L
90 = L

7C = 8I
7(96) = 8J
672 = 8J
672/8 = J
84 = J

check....
C = L + 6 : 96 = 90 + 6 : 96 = 96 (correct)
7C = 8J : 7(96) = 8(84): 672 = 672 (correct)
(J + L)/2 = 87 : (84 + 90)/2 = 87 : 174/2 = 87 : 87 = 87 (correct)

Juanita can leg press 84 lbs
Chen can leg press 96 lbs
Lou can leg press 90 lbs