Multi-step real-world and mathematical problems - HiSET

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Question

An electronics store is having a sale and offering off the regular prices of all laptop computers. If the sale price for a certain laptop is , what is the regular price of the laptop?

Answer

Notice that is the price after the discount. Therefore, the sale price of is of the regular price (or times the regular price). The regular price can be represented as , or times the regular price.

First, set up a proportion describing the problem, using to represent the unknown quantity, the regular price:

$\frac{$450.00}{0.75} = \frac{x}{1}$

Next, cross multiply:

$$450.00\cdot 1= 0.75\cdot x$

Finally, divide both sides by to solve for :

$x=\frac{$450.00}{0.75}$

Therefore, the regular price is .

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Question

3 sticks of butter weigh 12 ounces combined. Using this information, determine the weight of 7 sticks of butter.

Answer

Set up a proportional relationship, using to represent the unknown quantity (the weight of 7 sticks of butter):

$\frac{12\ ounces}{3\ sticks} = \frac{x\ ounces}{7\ sticks}$

Cross multiply:

$12\cdot 7 = 3\cdot x$

$84 = 3\cdot x$

Finally, divide both sides to solve for :

$\frac{84}{3} = x$

$x = 28\ ounces$

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Question

If is inversely related to and and is directly related to , which formula describes the relationship between and ?

Answer

To say that is inversely related to is to say $x=\frac{1}{y}$ .

To say that is directly related to is to say .

Thus, to say is inversely related to and and is directly related to is to say

$A=\frac{Z}{BC}$

Compare your answer with the correct one above

Question

An electronics store is having a sale and offering off the regular prices of all laptop computers. If the sale price for a certain laptop is , what is the regular price of the laptop?

Answer

Notice that is the price after the discount. Therefore, the sale price of is of the regular price (or times the regular price). The regular price can be represented as , or times the regular price.

First, set up a proportion describing the problem, using to represent the unknown quantity, the regular price:

$\frac{$450.00}{0.75} = \frac{x}{1}$

Next, cross multiply:

$$450.00\cdot 1= 0.75\cdot x$

Finally, divide both sides by to solve for :

$x=\frac{$450.00}{0.75}$

Therefore, the regular price is .

Compare your answer with the correct one above

Question

3 sticks of butter weigh 12 ounces combined. Using this information, determine the weight of 7 sticks of butter.

Answer

Set up a proportional relationship, using to represent the unknown quantity (the weight of 7 sticks of butter):

$\frac{12\ ounces}{3\ sticks} = \frac{x\ ounces}{7\ sticks}$

Cross multiply:

$12\cdot 7 = 3\cdot x$

$84 = 3\cdot x$

Finally, divide both sides to solve for :

$\frac{84}{3} = x$

$x = 28\ ounces$

Compare your answer with the correct one above

Question

If is inversely related to and and is directly related to , which formula describes the relationship between and ?

Answer

To say that is inversely related to is to say $x=\frac{1}{y}$ .

To say that is directly related to is to say .

Thus, to say is inversely related to and and is directly related to is to say

$A=\frac{Z}{BC}$

Compare your answer with the correct one above

Question

An electronics store is having a sale and offering off the regular prices of all laptop computers. If the sale price for a certain laptop is , what is the regular price of the laptop?

Answer

Notice that is the price after the discount. Therefore, the sale price of is of the regular price (or times the regular price). The regular price can be represented as , or times the regular price.

First, set up a proportion describing the problem, using to represent the unknown quantity, the regular price:

$\frac{$450.00}{0.75} = \frac{x}{1}$

Next, cross multiply:

$$450.00\cdot 1= 0.75\cdot x$

Finally, divide both sides by to solve for :

$x=\frac{$450.00}{0.75}$

Therefore, the regular price is .

Compare your answer with the correct one above

Question

3 sticks of butter weigh 12 ounces combined. Using this information, determine the weight of 7 sticks of butter.

Answer

Set up a proportional relationship, using to represent the unknown quantity (the weight of 7 sticks of butter):

$\frac{12\ ounces}{3\ sticks} = \frac{x\ ounces}{7\ sticks}$

Cross multiply:

$12\cdot 7 = 3\cdot x$

$84 = 3\cdot x$

Finally, divide both sides to solve for :

$\frac{84}{3} = x$

$x = 28\ ounces$

Compare your answer with the correct one above

Question

If is inversely related to and and is directly related to , which formula describes the relationship between and ?

Answer

To say that is inversely related to is to say $x=\frac{1}{y}$ .

To say that is directly related to is to say .

Thus, to say is inversely related to and and is directly related to is to say

$A=\frac{Z}{BC}$

Compare your answer with the correct one above

Question

An electronics store is having a sale and offering off the regular prices of all laptop computers. If the sale price for a certain laptop is , what is the regular price of the laptop?

Answer

Notice that is the price after the discount. Therefore, the sale price of is of the regular price (or times the regular price). The regular price can be represented as , or times the regular price.

First, set up a proportion describing the problem, using to represent the unknown quantity, the regular price:

$\frac{$450.00}{0.75} = \frac{x}{1}$

Next, cross multiply:

$$450.00\cdot 1= 0.75\cdot x$

Finally, divide both sides by to solve for :

$x=\frac{$450.00}{0.75}$

Therefore, the regular price is .

Compare your answer with the correct one above

Question

3 sticks of butter weigh 12 ounces combined. Using this information, determine the weight of 7 sticks of butter.

Answer

Set up a proportional relationship, using to represent the unknown quantity (the weight of 7 sticks of butter):

$\frac{12\ ounces}{3\ sticks} = \frac{x\ ounces}{7\ sticks}$

Cross multiply:

$12\cdot 7 = 3\cdot x$

$84 = 3\cdot x$

Finally, divide both sides to solve for :

$\frac{84}{3} = x$

$x = 28\ ounces$

Compare your answer with the correct one above

Question

If is inversely related to and and is directly related to , which formula describes the relationship between and ?

Answer

To say that is inversely related to is to say $x=\frac{1}{y}$ .

To say that is directly related to is to say .

Thus, to say is inversely related to and and is directly related to is to say

$A=\frac{Z}{BC}$

Compare your answer with the correct one above

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