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Answered

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3 books and 2 pens cost $8.
5 books and 3 pens cost $13.
find the total cost of one book and one pen.
​

Sagot :

Leora03

Answer:

$3

Step-by-step explanation:

Let the cost of a book and a pen be $b and $p respectively.

3b +2p= 8 -----(1)

5b +3p= 13 -----(2)

(1) ×3:

9b +6p= 24 -----(3)

(2) ×2:

10b +6p= 26 -----(4)

(4) -(3):

10b +6p -(9b +6p)= 26 -24

Expand:

10b +6p -9b -6p= 2

b= 2

Substitute b= 2 into (1):

3(2) +2p=8

6 +2p= 8

2p= 8 -6

2p= 2

p= 2 ÷2

p= 1

Total cost of one book and one pen

= $b +$p

= $2 +$1

= $3

Answer:

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Step-by-step explanation:

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