Let J and K be given points along a certain line. There are exactly two other distinct points U and V on this line such that UJ/UK=4 and VJ/VK=7. Let W be the midpoint of UV. Calculate the ratio WJ/WK.
Here's the way I laid it out......let JK =120
JU = 96
UK = 24
JV = 105
VK = 15
U = 96
V = 105
Midpoint = (96+105) / 2 = 100.5 = W
WJ = 100.5
WK = 120 - 100.5 = 19.5
WJ/ WK = 100.5 / 19.5 = (201/5) / ( 39/5) = 201 / 39 = 67/13