I bought a cd and a book. total cost was 25.00 for both. cd cost $4 more thn the book. how much was the book?
Favorite Answer
25 / 2 = 12.50
12.50 – 2 = 10.50, price of book
12.50 +2 = 14.50, price of cd
Check it… 14.50 + 10.50 = 25.00
First add like terms (the x’s) to get
2x + 4 = 25
now subtract 4 from each side
2x + 4 – 4 = 25 – 4 thus 2x = 21
now divide both sides by 2
2x / 2 = 21 / 2 thus x = 10.50
book = x = $10.50 cd = $10.50 + $4.00 = $14.50
CHECK $10.50 + $14.50 = $21.00
Formula: cost of cd + cost of book = 25 or
x + y = 25
But cost of cd is $4 greater than the cost of book, so x = y+4.
Substituting the value of x in the formula, we get
x+y = 25
y+4+y = 25
2y = 25 – 4
y = 21/2
y = 10.50
Therefore, the cost of the book is $10.50.
book = x
cd = book + $4 = x + $4
(x + $4) + x = $25
x + $4 + x = $25
2x + $4 = $25
2x = $25 – $4
x = ($25 – $4)/2 = $10.50
book = x = $10.50
book + (book + 4) = 25
book + book = 25 – 4
2 x book = 21
book = $10.50
book 10.50
14.50-cd
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