Question

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?

Answer 1

A total of 24 boxes can be purchased for $148.00, with different rates applied to the first 20 boxes and a lower rate for any additional boxes.

Step-by-step explanation:

To determine how many boxes of pens can be purchased for $148.00, we need to consider the different price rates for various quantities of pen boxes.

Firstly, the cost for the first 10 boxes is $7.50 per box. This means the total cost for 10 boxes is $7.50 x 10 = $75.00.

Next, for the subsequent 10 boxes, the cost is $5.50 per box. Thus, the total for another 10 boxes is $5.50 x 10 = $55.00.

Now let's add the two amounts: $75.00 (first 10 boxes) + $55.00 (second 10 boxes) = $130.00.

We have spent $130.00 on the first 20 boxes, leaving us with $148.00 - $130.00 = $18.00.

For any additional boxes, the cost is $4.50 per box. With the remaining $18.00, we can buy $18.00 / $4.50 per box = 4 boxes.

Total boxes purchased = 10 (first rate) + 10 (second rate) + 4 (additional) = 24 boxes.

Answer 2

So it is really easy to solve firstly we can see how much does the first 10 boxes make which makes around 75$ obviously. Secondly 55$ for the next 10 boxes.

So for now we can simply calculate that we have spent around 130$ which means 20 boxes. The remaining money left is 18$ so we can buy 18/4.5 = 4 only 4 boxes with that money. Hence a total of 24 boxes.