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29 July, 04:43

At the store, you buy some pencils for $0.50 each and some pens for $1.50 each. You spend a total of $12 and purchase 16 items (pencils and pens only). (a) Write and solve a system of equations that model the problem. Show all your work. (b) How many of each type of writing utensil did you purchase? (Write your answer in a complete sentence)

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  1. 29 July, 07:50
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    0.50x+1.50y=12

    x+y=16

    At the store you buy 12 pencils for $0.50 and 4 pens for $1.50. The total is $12 and 16 items.

    Equation

    0.50x+1.50y=12

    0.50x=-1.5y+12

    x=-3+24

    (-3y+24) + y=16

    -3y+24+y=16

    -2y=-8

    y=4

    x+4=16

    x=12

    x=12 y=4
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