The ratio of x to y is 3 to 2, and the ratio of y to z is 4 to 3. If x, y, and z are positive numbers, what is the ratio of x to (y + z)?
x /y = 3/2 → y = (2/3)x
y/z = (2/3)x / z = 4/3 → z = (3/4)(2/3)x = (1/2)x .....Therefore......
x / ( y + z) = x / [ (2/3)x + (1/2)x] = x (1)/ [x (2/3 + 1/2)] = 1/ (2/3 + 1/2) = 1/ [ 7/6] = 6/7
