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 30 books and each large box can hold 55 books. There were 2 more large boxes sent than small boxes, which altogether can hold 280 books. Determine the number of small boxes sent and the number of large boxes sent.

Question

Mathematics

Wendy Todd

30 July, 23:39

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 30 books and each large box can hold 55 books. There were 2 more large boxes sent than small boxes, which altogether can hold 280 books. Determine the number of small boxes sent and the number of large boxes sent.

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Answers (2)

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Steven Cummings · Answer 1

2 small boxes sent and 4 large boxes sent.

Step-by-step explanation:

Let the number of small boxes be S and the number of large boxes by L

Given that there were 2 more large boxes sent than small boxes, then

L = S + 2

Also given that each small box can hold 30 books and each large box can hold 55 books and altogether can hold 280 books.

30S + 55L = 280

Solve both equations simultaneously

30S + 55 (S + 2) = 280

85S + 110 = 280

85S = 280 - 110

85S = 170

S = 170/85

S = 2

Since L = S + 2

L = 2 + 2 = 4

The number of small boxes sent and the number of large boxes sent are 2 and 4 respectively.

Josh Gray · Answer 2

4 large boxes and 2 small boxes

Step-by-step explanation:

4 X 55 = 220 books

2 X 30 = 60 books

Total = 280 books