Ratios – Quantities – Demonstration This resource provides animated demonstrations of the mathematical method. Check animations and delete slides not needed for your class.

7 7 7 7 7 14 21 Jess James 14 21 = 5 parts in total Jess and James shared 35 fries in the ratio 2 : 3 How many fries did they each get? Jess James 35 ÷ 5 = 7 fries per part Draw a Bar Model to calculate how much one part is worth. 14 21 How can we check our answer? 14 7 7 Jess James = 5 parts in total 7 7 7 21

6 6 6 6 6 6 6 12 30 ① Jess James 12 30 = 7 parts in total Jess and James shared 42 fries in the ratio 2 : 5 How many fries did they each get? Jess James 42 ÷ 7 = 6 fries per part Draw a Bar Model to calculate how much one part is worth. 12 30 12 6 6 Jess James = 7 parts in total 6 6 6 6 6 30 ①

Anna and Tom shared some money in the ratio 2 : 7 Anna got £8. How much did Tom get? Anna Tom 8 ÷ 2 = £4 per part Draw a Bar Model to calculate how much one part is worth. £8 £28 8 4 4 Anna Tom 4 4 4 4 4 4 4 28

Anna and Tom shared some money in the ratio 5 : 4 Anna got £25. How much did Tom get? Anna Tom 25 ÷ 5 = £5 per part Draw a Bar Model to calculate how much one part is worth. £25 £20 25 5 5 5 5 5 Anna Tom 5 5 5 5 20 ②

3 3 3 3 3 3 3 3 3 3 3 3 15 21 Ash Mike 15 21 = 36 sweets in total Ash and Mike shared some sweets in the ratio 5 : 7 Mike got 21 sweets. How many were there in total? Ash Mike 21 ÷ 7 = 3 sweets per part Draw a Bar Model to calculate how much one part is worth. 15 21 = 36 sweets in total 15 3 3 3 3 3 Ash Mike 3 3 3 3 3 3 3 21

6 6 6 6 6 6 6 6 6 6 6 18 48 ③ Ash Mike 18 48 = 66 sweets in total Ash and Mike shared some sweets in the ratio 3 : 8 Ash got 18 sweets. How many were there in total? Ash Mike 18 ÷ 3 = 6 sweets per part Draw a Bar Model to calculate how much one part is worth. 18 48 = 66 sweets in total 18 6 6 6 Ash Mike 6 6 6 6 6 6 6 6 48 ③

Dan and Dave the bandits stole some money! They divided it in the ratio 3 : 5 Dave got £12 more than Josh. How much did they each get? Dan Dave 12 ÷ 2 = £6 per part £18 £30 Draw a Bar Model to calculate how much one part is worth. 18 12 6 6 6 Dan Dave 6 6 6 6 6 30

Dan and Dave the bandits stole some money! They divided it in the ratio 7 : 2 Dave got £35 less than Josh. How much did they steal in total? Dan Dave 35 ÷ 5 = £7 per part 49 14 Draw a Bar Model to calculate how much one part is worth. = £63 in total 49 7 7 7 7 7 7 7 Dan Dave 7 7 35 14 ④

Jess and James shared 35 fries in the ratio 2 : 3 How many fries did they each get? example Jess got 14 fries. James got 21 fries. 1) Tom and Tim shared 40 sweets in the ratio 3 : 5 How many sweets did they each get? 2) Jane and Jess shared some money in the ratio 5 : 2 Jane got £30. How much did Jess get? 3) Anna, Hannah and Tanya shared 60 fries in the ratio 2 : 3 : 7 How many more fries than Hannah did Tanya get? 4) Dan and Mike shared some money in the ratio 5 : 9 Mike got £28 more than Dan. How much did Dan get?

£12 20 more £35 Jess and James shared 35 fries in the ratio 2 : 3 How many fries did they each get? example Jess got 14 fries. James got 21 fries. Tom got 15. Tim got 25. 1) Tom and Tim shared 40 sweets in the ratio 3 : 5 How many sweets did they each get? £12 2) Jane and Jess shared some money in the ratio 5 : 2 Jane got £30. How much did Jess get? 3) Anna, Hannah and Tanya shared 60 fries in the ratio 2 : 3 : 7 How many more fries than Hannah did Tanya get? 20 more £35 4) Dan and Mike shared some money in the ratio 5 : 9 Mike got £28 more than Dan. How much did Dan get?

tom@goteachmaths.co.uk Questions? Comments? Suggestions? …or have you found a mistake!? Any feedback would be appreciated . Please feel free to email: tom@goteachmaths.co.uk