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murzikaleks [220]
3 years ago
13

Lucy was given $28.87 to buy 3 story books and 4 comic books. However she bought 4 storybooks and 3 comic books and had $2.69 le

ft. How much did each comic book cost?
Mathematics
1 answer:
vova2212 [387]3 years ago
8 0

Answer:

$5.27 each

Step-by-step explanation:

<em><u>EQUATION 1:</u></em>

--> Price of each story book: x

--> Quantity of story books: 3

--> Price of 3 story books: 3x

--> Price of each comic book: y

--> Quantity of comic books: 4

--> Price of 4 comic books: 4y

--> Total amount: $28.87

--> Equation----> 3x + 4y = 28.87

<u><em>EQUATION 2:</em></u>

--> Price of each story book: x

--> Quantity of story books: 4

--> Price of 3 story books: 4x

--> Price of each comic book: y

--> Quantity of comic books: 3

--> Price of 4 comic books: 3y

--> Total amount: $28.87 - 2.69 = $26.18

--> Equation----> 4x + 3y = 26.18

<em><u>SOLVE:</u></em>

3x + 4y = 28.87 <em>(Multiply by 4)</em>

4x + 3y = 26.18 <em>(Multiply by -3)</em>

--> 12x + 16y = 115.48

--> -12x - 9y = -78.54

<em>12x-12x will be cancelled.</em>

--> 16y-9y = 115.48-78.54

--> 7y = 36.94

--> y = 5.27

Therefore, each comic book cost $5.27.

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Please answer correctly
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Step-by-step explanation:

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The sale price of every item in a store is 85 percent of its usual price a. The usual price of a backpack is $30, what is the sa
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Read 2 more answers
9. The figure shows a rectangle with its length and
lora16 [44]

Answer:

875cm^2

Step-by-step explanation:

since opposite sides are equal

3x-y=2x+y

x=2y                                                      

y=x/2                                                                      ....(i)

thus new length=2x+y

=2x+(x/2)                                                              [using (i)]

=(4x+x)/2

l=5x/2                                                                   .....(ii)

now,

perimeter=2(l+b)=120cm

l+b=60cm            

from figure and using (ii)

[5x/2]+2x-3=60

[5x+4x-6]/2=60

9x-6=120

9x=126

x=126/9

x=14                                                                 ..........(iii)

substitute (iii) in (i)

y=14/2

y=7                                                                  ...........(iv)

From figure,

length=2x+y                                                   [using (iii) and (iv)]

=2x14+7

length=35cm

breadth=2x-3

=2x14-3                                                          ....[using(iii)]

=28-3

breadth=25cm

now,

Area=lxb

=35x25

=875cm^2

7 0
3 years ago
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