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

Question

Mathematics

Rayan Stuart

11 January, 04:01

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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Answers (1)

Know the Answer?

Max Huff · Answer 1

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.