Question

question 27 of 28
complete the story below so that it can be represented by the equation ( 16x - 12 = 14x ).
(a) complete the story below so that it can be represented by the equation ( 16x - 12 = 14x ).
kira is going to buy ( x ) copies of a book.
store a charges $ ____ per copy, and there is a $ ____ (a) shipping charge, (b) coupon discount.
store b charges $ ____ per copy, with no other charges or discounts.
the total cost (with all charges and discounts) is ____ (a) more for store a, (b) the same for the two stores, (c) more for store b,
(b) solve for ( x ).
for this equation (and story): ( x = ) ____
(a) complete the story below so that it can be represented by the equation ( 16x - 12 = 14x ).
kira is going to buy ( x ) copies of a book.
store a charges $ ____ per copy, and there is a $ ____
store b charges $ ____ per copy, with no other charges or discounts.
the total cost (with all charges and discounts) is ____
(b) solve for ( x ).
for this equation (and story): ( x = ) ____
blank 1_options
shipping charge.
coupon discount.
blank 2_options
more for store a,
the same for the two stores.
more for store b.
question 28 of 28
solve for ( n ).
( 8 = 3n + 63 + 2n )
simplify your answer as much as possible.

Explanation:

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Question 27

Step1: Fill story for equation

Store A charges $\$16$ per copy, and there is a $\$12$ coupon discount.
Store B charges $\$14$ per copy, with no other charges or discounts.
The total cost (with all charges and discounts) is the same for the two stores.

Step2: Isolate x term

$16x - 14x = 12$

Step3: Combine like terms

$2x = 12$

Step4: Solve for x

$x = \frac{12}{2}$

Step1: Fill story for equation

Store A charges $\$16$ per copy, and there is a $\$12$ shipping charge.
Store B charges $\$14$ per copy, with no other charges or discounts.
The total cost (with all charges and discounts) is the same for the two stores.

Step2: Isolate x term

$16x - 14x = 12$

Step3: Combine like terms

$2x = 12$

Step4: Solve for x

$x = \frac{12}{2}$

Step1: Combine like terms

$8 = (3u+2u) + 63$
$8 = 5u + 63$

Step2: Isolate u term

$5u = 8 - 63$

Step3: Calculate right-hand side

$5u = -55$

Step4: Solve for u

$u = \frac{-55}{5}$

Answer:

(a) Store A: $\$16$ per copy, $\$12$ coupon discount; Store B: $\$14$ per copy
(b) $x=6$

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Question 28 (a)