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As the student council treasurer, you prepare the budget for your class rafting trip. Each large raft costs $100 to rent and each small raft costs $40 to rent. You have $1,600 to spend. Write and solve a linear equation to find the number of small rafts you can rent if you rent 12 large rafts.

Respuesta :

jefferyadean

Answer- You can get 10 Small rafts

12 x 100+ 1200

1600-1200=400

400/40 =10 Rafts

boffeemadrid

A linear equation representing the given situation and the number of small rafts is required.

The required equation is [tex]100x+40y=1600[/tex]

The number of small rafts will be [tex]10[/tex]

Cost of one large raft = $100

Cost of one small raft = $40

Total amount to spend = $1600

Let the number of large rafts be [tex]x[/tex]

and small rafts be [tex]y[/tex]

The equation will be

[tex]100x+40y=1600[/tex]

The number of large rafts [tex]x=12[/tex]

[tex]100\times 12+40y=1600\\\Rightarrow y=\dfrac{1600-100\times 12}{40}\\\Rightarrow y=10[/tex]

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