If x + 2y = 30, then (2y/5 + x/3) + (x/5 + 2y/3) will be equal to

First, group the terms with common denominators in the expression (2y/5 + x/3) + (x/5 + 2y/3). This rearranges to (x/3 + x/5) + (2y/5 + 2y/3). Factor out x and 2y to get x(1/3 + 1/5) + 2y(1/5 + 1/3). Since (1/3 + 1/5) is common, factor it out: (x + 2y)(1/3 + 1/5). Given x + 2y = 30, substitute this value: 30 × (1/3 + 1/5). Calculate the sum of fractions: 1/3 + 1/5 = 5/15 + 3/15 = 8/15. Multiply: 30 × (8/15) = 2 × 8 = 16.