A woman bought some large frames for $15 each and some small frames for $6 each. If she bought 13 frames for $114, find out how many of each

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A woman bought some large frames for $15 each and some small frames for $6 each. If she bought 13 frames for $114, find out how many of each type she bought

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    2021-10-11T01:54:03+00:00

    x= small frames

    y = large frames

    6x+15y = 114

    x+y = 13

    solve for x

    x=13-y

    substitute into 6x+15y = 114

    6(13-y) +15y = 114

    distribute

    78 -6y +15y =  114

    combine like terms

    78 +9y = 114

    subtract 78 from each side

    9y = 36

    divide by 9

    y =4

    x = 13-y

    x = 13-y

    x=9

    Answer: 9 small frames and 4 large frames

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