Question

Bonney plans to buy books and magazines. Books cost $5.50 each

and magazines cost $3 each. She will buy at least 6 items in total
and spend less than $40. Solving which of the following systems
of inequalities yields the number of books, b, and the number of
magazines, m, Bonney can buy?
A) 5.5b + 3m 2 6
b + m < 40
B) 5.5b + 3m < 40
b + m 2 6
C) 3b + 5.5m < 40
b + m 26
D) b + m > 6
5.5b + 3m s 40

Answer 1

Explanation:

It is not A because books + magazines is related to the 6

It is not C because books cost $5.5 and magazines cost $3

B and D are very similar, but is is not D because the ≤ $40 is incorrect since it clearly states that Bonney will spent less than 40 < 40

so that leaves B <<<-------------

5.5b + 3m < 40 5.5 times books plus 3 times mags will be less than 40

b + m ≥ 6 the total number of books plus mags will be at least 6

or could be more 6