Question

Brittany gets 10 points in her book club for every book she reads, and she already has 50 points. She needs more than 190 points to receive the grand prize.

10x + 50 > 190

Which inequality represents the number of books Brittany needs to read to receive the grand prize? Select the inequality that contains the least number of books that Brittany can read and still receive the grand prize.

A. x > 14
B. x > 10
C. x > 140
D. x > 50

Answer 1

Answer: A

Explanation:

First, its important to realize that x= the number of books the reads. We put a 10 in front of the x because for every 1 books she reads, she receives 10 points. If she needs 190 points total, and already has 50 points, we then need to find how many points she needs to get to 190. To find this, we subtract 50 from 190, and are left with 140 points remaining to reach 190.

10x+50>190

-50 -50

10x>140

now that we know that 10x needs to be greater than 140, we can solve. We can divide both sides by 10 in order to find that x>14. She needs to read more than 14 books in order to earn the grand prize

`(10x > 140)/(10)` = x>140