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?

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

The following information should be considered:

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.

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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:

2. Solve the equations

is means division by fractions

step-by-step explanation:

answer:

given the linear inequality :

add 2y to both sides we get;

simplify:

add 12 to both sides of an equation;

simplify:

divide both sides by 2 we get;

or

the related equation for the inequality equation [1] is;

y-intercepts defined as the graph crosses the y-axis.

substitute x =0 in [2] to solve for y;

y = 6

x-intercepts defined as the graph crosses the x-axis.

substitute value y = 0 to solve for x;

subtract 6 from both sides we get

multiply both sides by 2 we get;

or

x = -12

now, plot these point (0, 6) and (-12, 0) on graph as shown below and shade the graph below the solid line.