In the new settlement, the ratio of savages to sophistacates is 7 to 2. If there are 28 sophisticates, how many savages are there?

Question

Find the number of savages.

Answer 1

7/2 = S/28 solve for S

7 = S/14

S = 7(14) = 98 savages

98/28 = 7/2 = 3.5 times as many savages

3.5 x 28 = 98

7(2+7) = 7/9 are savages

2/9 are not

28 is 2/9 of the total savages + sophisticates

total = 9/2 x 28 = 216

7/9 of 216 = 7x14 = 98 savages