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2 years ago

5

A restaurant sells sandwiches and will deliver for an additional cost. To have three sandwiches delivered, it costs $20. To have

four sandwiches delivered, it costs $26. How many sandwiches can be delivered for $80?

1 answer:

zimovet [89]2 years ago

7 0

Answer:

12 sandwiches

Step-by-step explanation:

If 3 sandwiches cost $20

Then x sandwiches cost $80

3----20

x----80

20x=3 x 80

20x=240

x=240/20

x=12 sandwiches

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Joint variation states that:

If z is directly proportional to x and inversely proportional to y,

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i.,e $V \propto T$ , $V \propto \frac{1}{P}$

by definition of joint variation:

$V = k\frac{T}{P}$ .....[1] where k is the constant of variation.

It is also given that a certain gas has a volume of 10 liters(L) , a temperature of 300 kelvins(K), and a pressure of 1.5 atmosphere(atm).

Substitute these given values in [1] to solve for k;

$10 = k\frac{300}{1.5}$

Simplify:

$10 = 200k$

Divide by 200 both sides we have;

$k = \frac{10}{200} =\frac{1}{20}$

Now, if a gas has a temperature of 400 kelvins and a pressure of 5 atm.

To find the volume (V);

Now substitute the given data and value of k in [1] we have;

$V = \frac{1}{20} \cdot \frac{400}{5} = \frac{20}{5} = 4$

Therefore, the Volume of a gas is, 4 liters

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