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14 October, 14:48

Two weavers are selling their products at a crafts fair. one weaver sells 4 blankets and 6 sweaters for $150. The other weaver sells 8 blankets and 12 sweaters for $400. Do the weaver charge the same amount or blankets and sweaters? write and solve a system of equations oro support your answer

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  1. 14 October, 15:13
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    No, they do not.

    Step-by-step explanation:

    We can solve this problem by using two equations to represent how much the weavers charge for their blankets and sweaters.

    Weaver One: 4b+6s=150

    Weaver Two: 8b+12s=400

    Let b represent the blankets.

    Let s represent the sweaters.

    If the weavers charge the same for their blankets and sweaters, the cost should be proportional.

    4b:8b=0.5

    6s:12s=0.5

    150:400=0.375

    If the costs were proportional, all of the quotients should've been equal. Since 0.375≠0.5, this means that the weavers do not charge the same amount for blankets and sweaters.
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