Answer: 14
Step-by-step explanation:
Given: The total balance in the account = $200
Also the business assistant must leave more than $50 in the supply account.
Therefore, the maximum amount he can use to order boxes=
..(1)
Since the assistant needs to order x boxes of pens.
Cost of each box = $10.50
Therefore, cost of x boxes=10.50 x
From (1), we have the inequality
![10.50x\leq150\\\\\Rightarrow\ x\leq\frac{150}{10.50}\\\\\Rightarrow\ x\leq14.285\\\Rightarrow\ x=14....\text{[since 14 is the maximum whole number less than 14.285]}](https://tex.z-dn.net/?f=10.50x%5Cleq150%5C%5C%5C%5C%5CRightarrow%5C%20x%5Cleq%5Cfrac%7B150%7D%7B10.50%7D%5C%5C%5C%5C%5CRightarrow%5C%20x%5Cleq14.285%5C%5C%5CRightarrow%5C%20x%3D14....%5Ctext%7B%5Bsince%2014%20is%20the%20maximum%20whole%20number%20less%20than%2014.285%5D%7D)
Hence, the business assistant can buy maximum 14 boxes of pens.