Question 1189223

A duck travels from point A to point B. If the duck flies 3/4 of the way, walks 1/9 of the way, and swims the remaining 10 kilometers of her trip, what is the total distance in kilometers traveled by the duck?
<pre>Let distance from A to B, be D
Flying {{{3/4}}} of the way, walking {{{1/9}}} of the way, and swimming remaining 10 km results in: {{{matrix(2,3, (3/4)D + (1/9)D + 10, "=", D, 3D/4 + D/9 + 10, "=", D)}}} 
27D + 4D + 360 = 36D ------ Multiplying by LCD, 36
31D + 360 = 36D
360 = 36D - 31D 
360 = 5D
Distance from A to B, or {{{highlight_green(matrix(1,6, D, "=", 360/5, "=", 72, km))}}}