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If Jake has u dollars at first,
Henry must have u+36 dollars at first.

Since the ratio of Jake : Henry is 3 : 5,
u / (u+36) = 3/5
5u = 3(u+36)
2u = 108
u = 54

a) So together, they had u + (u+36) = 54 + (54 + 36) = $144 #

b) If Henry now gives $6 to Jake,
Jake now has $54 + $6 = $60
Henry now has $54 + 36 – 6 = $84
So new ratio of Jake : Henry is 60 : 84 = 5 : 7 #

0 Replies 1 Like ✔Accepted Answer

Since the ratio is 3:5, we can draw the above model.
From it, we deduce that u = 36/2 = 18.

a. So they had 8 x 18 = $144 altogether.

b. Jake had 3 x 18 = $54 and Henry had $90.
   If Henry gave Jake $6, then the new ratio is 60:84 = 5:7.

(If you find this useful, please accept answer. Thanks!)
0 Replies 2 Likes