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Algebra

If 7 cartons of apple juice and 2 cartons of grapefruit juice cost £6.15 and 5 cartons of apple juice and 8 cartons of gratefruit juice cost £9.19
calculate the cost of 2 cartons of apple juice and 5 grapefruit juice

Using Algebraic calculation

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  1. 7 a + 2 g = 6.15 ... multiplying by 4 ... 28 a + 8 g = 24.60

    5 a + 8 g = 9.19

    solve the system for a and g

    subtract equations to eliminate g
    ... solve for a

    substitute back to find g

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  2. x = 0.67

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  3. X = 0.64

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  4. the cost of 2 cartons of apple juice and 5 grapefruit juice is £4.99

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