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Mathematics Curriculum Centre Rachel went to the supermarket. She bought some fruit for herself and for her neighbour. However, she forgot to ask for separate bills!

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Mathematics Curriculum Centre When Rachel checked the price labels on the fruit, she could not read them! - = - _= cents

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Mathematics Curriculum Centre She knew that she had bought 5 apples and 5 bananas for 90 cents but needed to know the price of each so that she could charge her neighbour accordingly. WW Supermarket 5 apples 5 bananas TOTAL Lm0.90

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Mathematics Curriculum Centre Luckily, Rachel found yesterday’s bill. 70 cents for 5 apples and 3 bananas. WW Supermarket 5 apples 3 bananas TOTAL Lm0.70 She was charged

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Mathematics Curriculum Centre Rachel considered herself lucky because she realised that she now knew how to work out the price of an apple and a banana!

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Mathematics Curriculum Centre Do ? you

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Mathematics Curriculum Centre WW Supermarket 5 apples 5 bananas TOTAL Lm0.90 Today’s bill WW Supermarket 5 apples 3 bananas TOTAL Lm0.70 Yesterday’s bill

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Mathematics Curriculum Centre This is what Rachel did. She wrote cents on each apple price label. a

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Mathematics Curriculum Centre and cents on each banana b price label.

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Mathematics Curriculum Centre a cents b cents 5 ( a cents) + 5( b cents) = 90 cents

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Mathematics Curriculum Centre Similarly, yesterday’s bill would be… 5 ( a cents) + 3( b cents) = 70 cents 5 ( a cents) + 5( b cents) = 90 cents In short… 5 a + 5 b = 90 5 a + 3 b = 70

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Mathematics Curriculum Centre 5 a + 5 b = 90 5 a + 3 b = 70

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Mathematics Curriculum Centre

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5 a + 5 b = 90 5 a + 3 b = 70 She subtracted the bills!! 2 b = 20 b = 10 b cents is 10 cents

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Mathematics Curriculum Centre b cents is 10 cents, then… 5 a + 5 b = 90 As… is… 5 a + 5 (10) = 90 5 a + 50 = 90 5 a = 40 a = 8 a cents is 8 cents

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Mathematics Curriculum Centre Now Rachel can charge her neighbour because she found out that an apple costs 8 cents and a banana costs 10 cents!

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Mathematics Curriculum Centre I want to see the solutions again... I want to see the whole story again…

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