Questions: A company buys pens at the rate of 7.50 per box for the first 10 boxes, 5.50 per box for the next 10 boxes, and 4.50 per box for any additional boxes. How many boxes of pens can be bought for 148.00? 24 27 19 31 21

A company buys pens at the rate of 7.50 per box for the first 10 boxes, 5.50 per box for the next 10 boxes, and 4.50 per box for any additional boxes. How many boxes of pens can be bought for 148.00? 
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Transcript text: Question 39 / 40 A company buys pens at the rate of $\$ 7.50$ per box for the first 10 boxes, $\$ 5.50$ per box for the next 10 boxes, and $\$ 4.50$ per box for any additional boxes. How many boxes of pens can be bought for $\$ 148.00$ ? 24 27 19 31 21
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Solution

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Solution Steps

Step 1: Calculate the cost of the first 10 boxes

The cost of the first 10 boxes is: \[ 10 \times \$7.50 = \$75.00 \]

Step 2: Calculate the cost of the next 10 boxes

The cost of the next 10 boxes is: \[ 10 \times \$5.50 = \$55.00 \]

Step 3: Determine the remaining budget after purchasing 20 boxes

The total cost for the first 20 boxes is: \[ \$75.00 + \$55.00 = \$130.00 \] The remaining budget is: \[ \$148.00 - \$130.00 = \$18.00 \]

Step 4: Calculate the number of additional boxes that can be purchased with the remaining budget

The cost per additional box is \$4.50. The number of additional boxes that can be purchased is: \[ \frac{\$18.00}{\$4.50} = 4 \text{ boxes} \]

Step 5: Calculate the total number of boxes that can be purchased

The total number of boxes is: \[ 10 + 10 + 4 = 24 \text{ boxes} \]

Final Answer

\[ \boxed{24} \]

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