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Lelechka [254]
3 years ago
5

Michael is an avid reader, his generous grandparents gave him money for his birthday, and he decided to spend at most $150 on bo

oks. Barnes and Noble is running a special: all paperback books are $8.00 and hard back books are $12.00. Michael wants to purchase at least 12 books.
Write a system of inequalities to represent the situation.
Mathematics
1 answer:
Andrews [41]3 years ago
5 0

Answer:

The system of inequality to represent the situation is

p + h \geq 12  

8 p + 12 h = 150

Step-by-step explanation:

Given as :

Total money to be spend on books = $150

The cost of each paperback book = $8

The cost of each hard back book = $12

The total number of books to be purchased = 12

Let The number of paperback books = p

Let The number of hard back books = h

<u>According to question</u>

Total number of books to be purchased =  number of paperback book + number of hard back book

i.e p + h \geq 12            ...........A

<u>Again</u>

Total money to be spend on books =  number of paperback books × cost of each paperback book  +  number of hard back books × cost of each hard back book

i.e p × $8 + h × $12 = $150

Or, 8 p + 12 h = 150         .........B

So, The system of inequality to represent the situation =

p + h \geq 12     and  8 p + 12 h = 150

Hence, The system of inequality to represent the situation is

p + h \geq 12 and  8 p + 12 h = 150  . Answer

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