Question

A school buys erasers at the rate of $8 per box for the first 5 boxes, $6.5 per box for the next 10 boxes, and $5 per box for any additional boxes. How many boxes of erasers can be bought for $150.00?

Answer 1

A school can buy 24 boxes of erasers with a budget of $150, purchasing the first 5 boxes at $8 each, the next 10 boxes at $6.5 each, and the remaining boxes at $5 each.

Step-by-step explanation:

The task is to calculate how many boxes of erasers a school can buy for $150, given that:

• The first 5 boxes are $8 per box.
• The next 10 boxes are $6.5 per box.
• Any additional boxes are $5 per box.

First, let's purchase the boxes at the highest rate of $8 per box:

5 boxes × $8 = $40

Next, we buy the boxes at the rate of $6.5 per box:

10 boxes × $6.5 = $65

We have spent $105 so far ($40 + $65). We subtract this from the total budget to see how much money is left for additional boxes:

$150 - $105 = $45

Finally, we purchase the additional boxes at $5 per box:

$45 ÷ $5 = 9 boxes

We can buy a total of 5 (first tier) + 10 (second tier) + 9 (additional) = 24 boxes of erasers.

Answer 2

24 boxes of erasers.

Step-by-step explanation:

1. First 5 boxes.

They cost $8 per box.

The total cost for 5 boxes: $8 × 5 = $40

2. Next 10 boxes.

They cost $6.50 per box.

The total cost for 10 boxes: $6.50 × 10 = $65

3. Remaining amount to spend:

$150 - ($40 + $65) = $150 - $105 = $45

4. Additional boxes

They cost $5 per box.

$45 ÷ $5 = 9

Then, lastly, you add the boxes from each category.

5 + 10 + 9 = 24