Sharing in a given ratio Flashcards
Revise how to share a quntity into 2 or 3 parts using ratios like 2:3 and 6:2:1
Share £35 between Alice and Bessie in the ratio 3:2
A gets £21, B gets £14
(Use ADAM - Add, Divide and Multiply
3 + 2 = 5, £35 ÷ 5 = £7, £7 x 3 = £21 and £7 x 2 = £14)
Share £32 between Andrew and Bertie in the ratio 3:5
A gets £12, B gets £20
(Use ADAM - Add, Divide and Multiply
3 + 5 = 8, £32 ÷ 8 = £4, £4 x 3 = £12 and £4 x 5 = £20)
Share £77 between Annie and Beth in the ratio 4:3
A gets £44, B gets £33
(Use ADAM - Add, Divide and Multiply
4 + 3 = 7, £77 ÷ 7 = £11, £11 x 4 = £44 and £11 x 3 = £33)
Share 63 sweets between Chris and Dave in the ratio 5:4
C gets 35 sweets, D gets 28 sweets
(Use ADAM - Add, Divide and Multiply
5 + 4 = 9, 63 ÷ 9 = 7, 7 x 5 = 35 and 7 x 4 = 28)
Share 40 sweets between Charlie and Didi in the ratio 3:7
C gets 12 sweets, D gets 28 sweets
(Use ADAM - Add, Divide and Multiply
3 + 7 = 10, 40 ÷ 10 = 4, 4 x 3 = 12 and 4 x 7 = 28)
Share 35 sweets between Carys and Dan in the ratio 6:1
C gets 30 sweets, D gets 5 sweets
(Use ADAM - Add, Divide and Multiply
6 + 1 = 7, 35 ÷ 7 = 5, 6 x 5 = 30 and 1 x 5 = 5)
Alice and Bessie share some sweets in the ratio 4:3
Alice gets 20 sweets. How many does Bessie get?
Bessie gets 15 sweets.
20 ÷ 4 = 5, 5 x 3 = 15; also 4:3 = 20:15
Andrew and Bertie share some sweets in the ratio 5:2
Bertie gets 12 sweets. How many does Andrew get?
Andrew gets 30 sweets.
12 ÷ 2 = 6, 6 x 5 = 30; also 5:2 = 30:12
Annie and Beth share some sweets in the ratio 3:5
Annie gets 18 sweets. How many does Beth get?
Beth gets 30 sweets.
18 ÷ 3 = 6, 6 x 5 = 30; also 3:5 = 18:30
Chris and Dave share some money in the ratio 2:7
Chris gets £18. How much money does Dave get?
Dave gets £63.
18 ÷ 2 = 9, 9 x 7 = 63; also 2:7 = 18:63
Charlie and Didi share some money in the ratio 8:3
Didi gets £18. How much money does Charlie get?
Charlie gets £48.
18 ÷ 3 = 6, 6 x 8 = 48; also 8:3 = 48:18
Carys and Dan share some money in the ratio 6:5
Carys gets £24. How much money does Dan get?
Dan gets £20.
24 ÷ 6 = 4, 4 x 5 = 20; also 6:5 = 24:20
