The business assistant needs to leave more than $50 in the supply account, which means they need to have at least $250 after purchasing the boxes of pens.
Each box of pens costs $10.50, so the cost of x boxes of pens is 10.50x.
Therefore, the inequality that represents the situation is:
200 - 10.50x ≥ 50
To solve for x, we can subtract 200 from both sides of the inequality:
-10.50x ≥ -150
Next, divide both sides of the inequality by -10.50, remembering to flip the inequality sign when dividing by a negative number:
x ≤ 150/10.50
Simplifying the right side, we get:
x ≤ 14.2857
Since x represents the number of boxes of pens, we round down to the nearest whole number to ensure the business assistant does not exceed the limit. Therefore, the maximum number of boxes of pens the business assistant can buy is 14.
Therefore, the correct response is 14 boxes.
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?
Responses
10 boxes
10 boxes
14 boxes
14 boxes
15 boxes
15 boxes
23 boxes
1 answer
1 answer