Chapter 6.3, Problem 33E

a.

To determine

To find : the cost of 12 gallons of gasoline.

Answer to Problem 33E

The cost of 12 gallons of gasoline is $52

Explanation of Solution

Given information :

Consider the information,$13 was paid at gas station for 3 gallons of gasoline.

Explain:

Assume the cost of gasoline be $x$

To find the cost of 12 gallon of gasoline evaluate the rate of gasoline and then

Multiply the number with 12.

Therefore,

  $\begin{array}{l}\frac{13}{3}=\frac{\text{x}}{12}\\ \text{x=}\frac{13\times 12}{3}\\ \text{x=52 }\end{array}$

So, the cost of 12 gallons of gasoline is $52

b.

To determine

To find:The amount of gasoline you can buy in $78

Answer to Problem 33E

The amount of gasoline that could be bought in $78 is 18 gallons

Given information :

Consider, the question paid $13 at gas station to get 3 gallons of gasoline

Calculation:

Let us assume the amount of gasoline be $x$

To get the answer evaluate the amount of gallons that can be bought by dividing the total cost by rate of gasoline

Therefore,

  $\begin{array}{l}\frac{13}{3}=\frac{78}{\text{x}}\\ 13\text{x=78}\times \text{3}\\ \text{ x=}\frac{78\times 3}{13}\\ \text{ x = }\frac{234}{13}\\ \text{ x =18 }\end{array}$

Therefore,the amount of gasoline that can be bought in $78 is 18gallons

Explanation of Solution

Given information :

Consider, the question paid $13 at gas station to get 3 gallons of gasoline

Calculation:

Let us assume the amount of gasoline be $x$

To get the answer evaluate the amount of gallons that can be bought by dividing the total cost by rate of gasoline

Therefore,

  $\begin{array}{l}\frac{13}{3}=\frac{78}{\text{x}}\\ 13\text{x=78}\times \text{3}\\ \text{ x=}\frac{78\times 3}{13}\\ \text{ x = }\frac{234}{13}\\ \text{ x =18 }\end{array}$

Therefore,the amount of gasoline that can be bought in $78 is 18gallons