Question

A publisher needs to send many books to a local book retailer and will send the books in a combination of small and large boxes. Each small box can hold 25 books and each large box can hold 50 books. There were 3 more large boxes sent than small boxes, which altogether can hold 450 books. Determine the number of small boxes sent and the number of large boxes sent.

Answer 1

Answer:

The number of small boxes sent is 4 and the number of large boxes sent is 7.

Step-by-step explanation:

Given:

A publisher needs to send many books to a local book retailer and will send the books in a combination of small and large boxes.

Each small box can hold 25 books and each large box can hold 50 books.

There were 3 more large boxes sent than small boxes, which altogether can hold 450 books.

Now, to determine the number of small boxes sent and the number of large boxes sent.

Let the number of small boxes be $x.$

So, the number of large boxes be $x+3.$

Number of books each small box can hold = 25.

Number of books each large box can hold = 50.

Total number of books in both the boxes altogether = 450.

Now, to get the number of small boxes and the number of large boxes we solve an equation:

$25(x)+50(x+3)=450$

$25x+50x+150=450$

$75x+150=450$

Subtracting both sides by 150 we get:

$75x=300$

Dividing both sides by 75 we get:

$x=4.$

The number of small boxes = 4.

The number of large boxes = $x+3$ = 4+3 = 7.

Therefore, the number of small boxes sent is 4 and the number of large boxes sent is 7.

Answer 2

Answer:

The number of small boxes sent is 4 and the number of large boxes sent is 7. (4,7)

Step-by-step explanation: