n° By: Maaya and Anna What is the problem? How did we approach this? Adding Ratios The Answers A decorator buys pink paint from 2 different manufactures. Methods Used Maths: Mixing Paints Paint B is made up from red and white paint in the ratio 1:7 Paint A is made up from red and white paint in the ratio 1:3 He can mix the paints to produce a different shade of pink.

1:4

1:5

1:6 If Paint A and Paint B come in same size cans, what is the least number he would need of each type in order to produce pink paint containing red and white in the following ratios:

If you just add the ratios 1:3 and 1:7, you think the answer would be 3:10. This is not correct, because the answer is not accurate.

You cannot add ratios without changing one ratio, because the ratios will not be equivalent. 1

4 1 8 Trial and Improvement Table Each part has to be

the same in value 1 8 2 8 Table n° Now that we have changed the fraction 1/4, the ratios are now equivalent n° of tins A B 1 2:6 1:7 2 4:12 1:4 1:5 1:6 2:14 3 6:18 3:21 4 8:24 4:28 5 10:30 5:35 6:18 + 2:14 = 6 12:36 6:42 7 8:32

14:42 7:49 8 8 16:48 8:56 ... ... ... = 1:4 3 A + 2 B 2:6 +2:14 = 4:20 4 1:5 = 1 A + 2 B 2:6 + 6: 42 = 8:48 8 1:6 = 1 A + 6 B

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# Maths: Mixing Paint, Ratio.

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