If $a/b=2$, $b/c=3$, $c/d=4$, $d/e=3$, $e/f=2$ and $f/g=1\cdot5$, what is the value of $\frac{a+b+c}{e-f+g}$?

To find the value of the expression, we express all variables in terms of g by multiplying the given ratios. Starting from the end: f = 1.5g; e = 2f = 2(1.5g) = 3g; d = 3e = 3(3g) = 9g; c = 4d = 4(9g) = 36g; b = 3c = 3(36g) = 108g; and a = 2b = 2(108g) = 216g. Substituting these into the numerator: a + b + c = 216g + 108g + 36g = 360g. For the denominator: e - f + g = 3g - 1.5g + g = 2.5g. The final ratio is (360g) / (2.5g). Dividing 360 by 2.5 is equivalent to 3600 / 25, which equals 144. However, re-evaluating the calculation: 360 / 2.5 = 144. Wait, checking the options and calculation again: a=216g, b=108g, c=36g, d=9g, e=3g, f=1.5g, g=g. Numerator = 360g. Denominator = 3g - 1.5g + g = 2.5g. 360 / 2.5 = 144. Option 1 is 144.