Mr perry shares out 21 biscuits between 2 people in the ratio 1: 6. how many biscuits does each person get? ? also, mr castle shares out 64 marbles between 2 people in the ratio 7: 1. how many do they both get?
mr adams shares out 14 pencils between 2 people in the ratio 3: 4. how many do they both get?

Mr Perry shares 21 biscuits between 2 people (but not an equal share) . . . he shares them at a ratio of 1:6 . . . which means for every 1 handed out to the first person, the second person gets 6 (for a total of 1 + 6 = 7 biscuits handed out in the first round) . . . divide 21 by 7 to determine there are 3 rounds of sharing . . .

(21 biscuits)/(7 biscuits per round) = 3 rounds of sharing

Multiply rounds of sharing  by ratio of sharing:
3:3 * 1:6 = 3:18

Check by adding up the total:
3 + 18 = 21

so . . .

Mr. Perry . . .  21/(1 + 6) = 3 . . . 1*3 = 3 . . . 6*3 = 18
Person A gets 3 biscuits
Person B gets 18 biscuits

Do the same procedure for the others to get . . .

Mr. Castle . . .  64/(1 + 7) = 8 . . . 1*8 = 8 . . . 7*8 = 56
Person A gets 8 marbles
Person B gets 56 marbles

Mr. Adams . . . 14/(3 + 4) = 2 . . . 3*2 = 6 . . . 4*2 = 8
Person A gets 6 pencils
Person B gets 8 pencils

Mr. Adams . . . 14/(3 + 4) = 2 . . . 3*2 = 6 . . . 4*2 = 8
Person A gets 6 pencils
Person B gets 8 pencils