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 30 books and each large box can hold 55 books. A total of 10 boxes were sent which can hold 375 books altogether. Write a system of equations that could be used to determine the number of small boxes sent and the number of large boxes sent. Define the variables that you use to write the system.

Answer 1

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

Step-by-step 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