A discount book store sells hardcover books for $8 each and paperbacks for $4 each.The number of hardcover books, h, sold one da
y was 2 more than four times the number of paperback books, p, sold that same day. The total amount of sales for that day was $160. Jean-Paul wrote the following system of linear equations to find the number of each type of book sold.
8 h + 4 p = 160. p = 4 h + 2.
What is Jean-Paul’s error?
A. Jean-Paul should have written the first equation as h + p = 160.
B. Jean-Paul should have written the first equation as 4 h + 8 p = 160.
C. Jean-Paul should have written the second equation as h = 4 p + 2.
D. Jean-Paul should have written the second equation as p + 2 = 4 h.
it is not A.. see picture
8 h + 4 p = 160. p = 4 h + 2.
What is Jean-Paul’s error?
A. Jean-Paul should have written the first equation as h + p = 160.
B. Jean-Paul should have written the first equation as 4 h + 8 p = 160.
C. Jean-Paul should have written the second equation as h = 4 p + 2.
D. Jean-Paul should have written the second equation as p + 2 = 4 h.
it is not A.. see picture
1 answer:
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Answer:
The correct option is D.
Step-by-step explanation:
The given equation is
According to the addition property of equality and
are equivalent equations.
Use addition property of equality, add 3x on both the sides.
Therefore Sam's work is incorrect because he make calculation mistake.
According to the subtraction property of equality and
are equivalent equations.
Use subtraction property of equality, subtract 5x from both the sides.
Therefore Roy's work is correct because he used subtraction property.
Option D is correct.