The concession stand sells three sodas for every four hot dogs that are sold. If 12 sodas are sold, how many hot dogs are sold?

We now have a system of two linear equations:

d

+

h

=

78

1.25

d

+

1.5

h

=

105.5

We can solve it using several methods, though I'm going to go with substitution. Use the first equation to solve for

d

:

d

+

h

=

78

→

d

=

78

−

h

Now plug this in for

d

in the second equation:

1.25

d

+

1.5

h

=

105.5

→

1.25

(

78

−

h

)

+

1.5

h

=

105.5

Solving for

h

, we have:

97.5

−

1.25

h

+

1.5

h

=

105.5

0.25

h

=

8

h

=

8

.25

→

h

=

32

Since

h

+

d

=

78

,

32

+

d

=

78

→

d

=

46

The concession stand therefore sold

46

hot dogs and

32

hamburgers.

Step-by-step explanation:

That was an explanation for a similar answer, I hope it helps!

Step-by-step explanation:

The volume of an sphere is defined as

According to the problem, the volume of an sphere is 113.04 cubic inches. If we use this fact, we can find the radius

Therefore, the radius is 3 inches long.