A group of tourists spend $168 to rent snorkels and find. A total of 10 snorkels and 12 pairs of fins are rented. Renting a snorkel costs three times as much as renting a pair of fins. How much does it cost to rent a snorkel?

Respuesta :

Answer:

Cost to a rent a snorkel[tex]=\$ 12[/tex]                ,           Cost on 10 rent  snorkel [tex]=\$ 120[/tex]

Step-by-step explanation:

Given,

Tourist spend on rent snorkel and fin=[tex]\$ 168[/tex]

10 snorkel and 12 pairs of fin

Let the cost to  rent a snorkel be =[tex]\$[/tex]x

and cost of a pair of fin is =[tex]\$[/tex]y

x=3y            (given condition)

[tex]10x+12y=168[/tex]

[tex]10\times 3y+12y=168[/tex]

[tex]30y+12y=168[/tex]

[tex]42y=168[/tex]

[tex]y=168/42[/tex]

[tex]y=4[/tex]

Cost of a pair of fin=  [tex]y=\$ 4[/tex]

[tex]x=3y[/tex]

[tex]x=3\times 4[/tex]

[tex]x=12[/tex]

Cost of rent a snorkel[tex]=\$ 12[/tex]

Total cost of a rent snorkel

[tex]=10\times 12[/tex]

   =[tex]\$ 168[/tex]

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