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22 November, 20:33

Sue's Sushi placed two orders with its fish supplier. One order was for 11 pounds of salmon and 6 pounds of tuna; the order totaled $191. The other order was for 8 pounds of salmon and 4 pounds of tuna; this order totaled $136. What is the cost for one pound of salmon and one pound of tuna?

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  1. 22 November, 20:56
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    For this question you’ll want to make it into a simultaneous equation so it would be

    11s+6t = 191

    8s+4t = 136

    Now you need to make either t or s the same on both equations, do this by finding a common multiple. In this instance I’d make t the same.

    So it would be:

    22s+12t=382

    24s+12t=408

    You can then take 12t from each equation:

    22s=382

    24s=408

    So:

    2s=26

    S=13

    Then substitute s into an earlier equation to find t:

    (13x8) + 4t = 136

    104+4t=136

    4t=32

    t=8

    So, t=8 and s=13
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