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2 years ago

12

On the last day of the school book fair, all pencils were one set price and all books were a different set price. Sammy bought 2

pencils and 6 books for $14. Belle bought 4 pencils and 1 book for $8. What was the set price for a pencil? What was the set price for a book?

1 answer:

Lady bird [3.3K]2 years ago

3 0

Answer:

Book -$20/11 and pencil - $17/11

Step-by-step explanation:

Let the set price of pencil be p and the set price of book be b

<u>Then we have equations:</u>

2p + 6b = 14
4p + 1b = 8

<u>Simplify the first equation:</u>

p + 3b = 7

<u>And substitute p in the second equation: p = 7 - 3b</u>

4(7 - 3b) + b = 8
28 - 12b + b = 8
11b = 20
b = 20/11

<u>And finding value of p:</u>

p = 7 - 3(20/11) = 1/11(77 - 60) = 17/11

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Answer: -54

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3 years ago

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<u>Solution:</u>

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3 years ago

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