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A group of tourists spends $153 to rent snorkels and fins. A total of 12 snorkels and 15 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 :

The snorkels will cost 20.60 because you will have to divide 153 and 15 then when you get your total times it by 2 then you will get 20.60
JeanaShupp

Answer:  It cost $9 to rent a snorkel.

Step-by-step explanation:

Let x = cost of each snorkel. and y = Cost of each pair of fins are rented.

Given : Amount spent by group of tourists to rent snorkels and fins. = $153

A total of 12 snorkels and 15 pairs of fins are rented.

[tex]12x+15y=153\ \ \ ...(i)[/tex]

Renting a snorkel costs three times as much as renting a pair of fins.

i.e. [tex]x=3y...(ii)[/tex]

Put value of x in (i) , we get

[tex]12(3y)+15y=153\\\\\Rightarrow\ 36y+15y=153\\\\\Rightarrow\ 51y=153\\\\\Rightarrow y=\dfrac{153}{51}\\\\\Rightarrow\ y=3[/tex]

Put  value of y in (ii) , we get [tex]x=3\times3=9[/tex]

Hence, it cost $9 to rent a snorkel.