A company buys pens at the rate of $5.50 per box for the first 10 boxes, $4.50 per box for the next 10 boxes, and $3.50 per box for any additional boxes. how many boxes of pens can be bought for $177.00?

Respuesta :

So it is really easy to solve firstly we can see how much does the first 10 boxes make which makes around 55$ obviously. Secondly 45$ for the next 10 boxes.

So for now we can simply calculate that we have spent around 100$ which means 20 boxes. The remaining money left is 77$ so we can buy 77/3.5 = 22 only 22 boxes with that money. Hence a total of 42 boxes.

Multiplication tells us the number of times a number is added to itself. The total number of boxes that we can buy for $177 is 42 boxes.

What is multiplication?

Multiplication tells us the number of times a number is added to itself. It is one of the most basic mathematical operators.

Let the total number of boxes bought at $3.50 per box be represented by x.

We know that for the first 10 boxes we need to pay $5.50, and $4.50 for the next 10 boxes, while $3.50 for any additional box, therefore, We can write the equation for the total number of boxes as,

[tex](\$5.50 \times 10) + (\$4.50 \times 10) +(\$3.50 \times x) = \$177\\\\(5.50 \times 10) + (4.50 \times 10) +(3.50 \times x) = $177\\\\55 + 45 +3.5 x = 177\\\\3.5 x= 177-55-45\\\\3.5x = 77\\\\x = 22[/tex]

Thus, the total number of boxes for $3.50 is 22.

The total number of boxes that are bought is (22+10+10) because to buy a box for $3.50, we need to buy 10 boxes for $5.50 and 10 boxes for$4.50.

Thus, the total number of boxes that we can buy for $177 is 42 boxes.

Learn more about Multiplication:

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