Question

A publisher used 10 boxes to send 375 books to a local book retailer. The

small boxes hold 30 books and each large box holds 55 books. Determine
the number of small and the number of large boxes used.

Answer 1

Answer: Number of small boxes = 7, Number of large boxes =3

Explanation:

Let x= Number of small boxes , y = Number of large boxes.

As per given , 30x+55y=375 (i)

x+y=10 (ii)

Multiply (ii) by 30, we get

30x+30y=300 (iii)

Eliminate (iii) from (i), we get

25y=75

⇒ y= 3 [Divide both sides by 25]

Put y=3 in (ii), we get

x+3=10 ⇒ x=7

Hence, Number of small boxes = 7, Number of large boxes =3

Hope this helps!!! :)