A group of tourists spends $156 to rent snorkels and fins. A total of 15 snorkels and 18 pairs of fins are rented. Renting a snorkel costs four times as much as renting a pair of fins. How much does it cost to rent a snorkel?

You could use many methods to find the answer to this problem, but I am going to use the most efficient one I know.
18f+15(4f)=156
F is for fins. We should now solve the equation.
18f+60f=156
78f=156
156÷78=2
So fins cost 2 dollars. Now, we know snorkels cost four times the amount of fins. Four times 2 is eight. So the snorkels cost $8 to rent. Let's check our math.
15(8) + 18(2)
120+36=156
So it cost $8 to rent a snorkel.

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jajumonac jajumonac · Answer 2 · 2020-01-04T02:46:12+01:00

Answer:

A snorkel's rent costs $8

Step-by-step explanation:

Givens:

Total spend $156.
Snorkels rented: 15
Pair of find rented: 18

The problem specifies that a snorkel costs four times as much as a pair of fins, that is:

[tex]s:[/tex] snorkels.

[tex]f:[/tex] fins.

[tex]s=4f[/tex]

The equation that represents the total cost is:

[tex]15s+18f=156[/tex]

Now, we just have to substitute the expression for snorkels in the total cost equation:

[tex]15(4f)+18f=156[/tex]

[tex]60f+18f=156[/tex]

[tex]78f=156[/tex]

[tex]f=\frac{156}{78}=2[/tex]

Then, [tex]s=4f[/tex]

[tex]s=4(2)=8[/tex]

Therefore, a snorkel's rent costs $8.