AnswersNC-Math 2Solving Linear Systems by Substitution

Mixed Degree Systems Answers

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The given system of equations models the coins in a jar containing n nickels, d dimes, and q quarters. Which statement is modeled by one of the equations in the system?

Question illustration
A
The number of nickels is equal to the total number of dimes and quarters.
B
The total value of the coins in the jar is $36.
C
There is a total of 36 coins in the jar.
D
There is an equal number of nickels, dimes, and quarters.
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Pam laid three times as many tiles on Saturday as she laid on Sunday. If Pam laid 80 tiles over the weekend altogether, how many tiles did she lay on Saturday?

A
20 tiles
B
27 tiles
C
54 tiles
D
60 tiles
3

A picture frame has a perimeter of 40 inches. Its length is 2 inches greater than one-half its width. Let w represent the width in inches of the picture frame, and let l represent the length in inches. Which system of equations can be used to find the dimensions of the picture frame?

A
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Option A
B
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Option B
C
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Option C
D
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Option D
4

The Carson family paid $192 for two adult and three youth tickets to an amusement park. At the same park, the Davis family paid $148 for one adult and four youth tickets. Let x represent the cost of an adult ticket, and let y represent the cost of a youth ticket. Which system of equations can be used to find the cost of each ticket?

A
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Option A
B
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Option B
C
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Option C
D
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Option D

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