Answered

A business assistant must leave more than $50 in the supply account. There is $200 in the account. The assistant needs to order x boxes of pens that cost $10.50 each.

What is the maximum number of boxes of pens the business assistant can buy?


10


14


15


23

Verified Answer :

The awnser is 14. If u divide 200 by 10.50. And keep atleast $50 remaining it is 14

JeanaShupp

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= \(\$200-\$50=\$150\)..(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

\(10.50x\leq150\\\\\Rightarrow\ x\leq\frac{150}{10.50}\\\\\Rightarrow\ x\leq14.285\\\Rightarrow\ x=14....\text{[since 14 is the maximum whole number less than 14.285]}\)

Hence, the business assistant can buy maximum 14 boxes of pens.



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