Irene had a total of 1686 red, blue and green balloons on sale. The ratio of the number of red balloons to the number of blue balloons was 2:3. After Irene sold ¾ of the blue balloons, ½ of the green balloons and none of the red balloons, she had 922 balloons left. How many blue balloons did Irene have at first?[4 marks][Answer given: 948]
R [][][][][][][][] ]
B [][][][][][][][][][][][] ] 1686
G [ ][ ] ]
20 u + 2 p --> 1686
R [][][][][][][][] ]
B [][][] ] 922
G [ ] ]
11 u + 1 p --> 922
22 u + 2 p --> 2 x 922 = 1844
2 u --> 1844 - 1686 = 158
12 u --> 12/2 x 158 = 948 blue balloons
It was 948 blue balloons.
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