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

The system of inequality to represent the situation is

p + h 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

According to question

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

i.e p + h 12            ...........A

Again

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 12     and  8 p + 12 h = 150

Hence, The system of inequality to represent the situation is

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

1)is not similar since corresponding sides are not in the same ratio

2)are similar since corresponding sides are in the same ratio and corresponding angles are equal

hope it will

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