The ratio of the weight of rice in package A to the weight of rices in package B is : . If the total weight of rice in the two packages is 510 pounds,

(a) How many pounds of rice in package A?

lb.

(b) How many pounds of rice in package B?

lb.

First, multiply each part of the given ratio by 6 (the lowest common multiple of 2 and 3) to make them whole numbers.

: = ( × 6) : ( × 6) = 9:8

Then, set the mass of rice in bag A as 9 units and the mass of rice in bag B as 8 units.

Then, the total mass is (9 + 8 = 17) units.

17 units = 540

1 unit = 510 ÷ 17 = 30

Rice in bag A: 9 units = 9 × 30 = 270

Rice in bag B: 8 units = 8 × 30 = 240