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Kami sold 70 figurines in 2 sizes . The large figurines sold for $12 dollars each, and the small figurines sold for 8 dollars each. The amount of money he received from the sales of the large figurines was equal to the amount of money he received from the sales of the small figurines.How many large figurines did he sell this month?

Respuesta :

znk

Answer:

[tex]\large \boxed{28}[/tex]

Step-by-step explanation:

1. Set up the equations

 Let l = the number of large figurines  

and s = the number of small figurines. Then

   12l = money from large figurines and

    8s = money from small figurines

   12l = 8s

You have a system of two equations:

[tex]\begin{cases}(1) & 12l= 8s\\(2) & l + s = 70\end{cases}[/tex]

2. Solve the equations

[tex]\begin{array}{lrcll}(3) & s& = &70 - l&\text{Subtracted l from each side of (2)}\\ & 12l & = & 8(70 - l) &\text{Substituted (3) into (1)}\\& & = & 560 - 8l &\text{Distributed the 8}\\&20l & = & 560 &\text{Added 8l to each side}\\& l & = & 28 &\text{Divided each side by 20}\\\end{array}\\\text{Kami sold $\large \boxed{\mathbf{28}}$ large figurines}[/tex]

The number of large figurines did he sell this month is 28.

The following information should be considered:

  • Let us assume the l be the large figurines.
  • And, s be the small figurines.

Now based on the given information, the following equations should be made:

12l = 8s ........(1)

And, l + s  = 70

s = 70 - l..........(2)

Now put the value of s in equation 1

12l = 8(70 - l)

12l = 560 - 8l

20l = 560

l = 28

Therefore we can conclude that the number of large figurines did he sell this month is 28.

Learn more: brainly.com/question/24169758

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