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27 June, 10:54

Dan and Mario went to a sandwich shop to buy sandwiches for their group of friends. Dan bought 2 tuna and 5 vegetarian sandwiches for $37. Mario bought 4 tuna and 3 vegetarian sandwiches for $39. Which system of equations can be used to solve for the cost of each kind of sandwich

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  1. 27 June, 14:46
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    2t+5v=37 and 4t+3v=39

    Solve the first for t

    t=18.5-2.5v and use this t in the second equation ...

    4 (18.5-2.5v) + 3v=39

    74-10v+3v=39

    -7v=-35

    v=$5.00 and since t=18.5-2.5v

    t=$6.00

    So tuna sandwiches cost $6.00 and vegetarian sandwiches cost $5.00.
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