Please help with workings. Thanks

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# Question

# Answer

ChiefKiasu

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 #

mr.tan

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!)