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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 40 books. There were twice as many large boxes sent as small boxes, which altogether can hold 330 books. Determine the number of small boxes sent and the number of large boxes sent.

Respuesta :

absor201

3 small boxes and 6 large boxes were sent to the retailer.

Step-by-step explanation:

Number of books held by small boxes = 30

Number of books held by large boxes = 40

Total books held by boxes = 330

Let,

x represent the number of small boxes

y represent the number of large boxes

According to given statement;

y = 2x     Eqn 1

30x+40y=330    Eqn 2

Putting value of y from Eqn 1 in Eqn 2

[tex]30x+40(2x)=330\\30x+80x=330\\110x=330[/tex]

Dividing both sides by 110

[tex]\frac{110x}{110}=\frac{330}{110}\\x=3[/tex]

Putting x=3 in Eqn 1

[tex]y=2(3)\\y=6[/tex]

3 small boxes and 6 large boxes were sent to the retailer.

Keywords: linear equation, substitution method

Learn more about substitution method at:

  • brainly.com/question/10387593
  • brainly.com/question/10402163

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