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muminat
3 years ago
11

Write a system of equations to describe the situation below, solve using elimination, and fill in the blanks.

Mathematics
1 answer:
asambeis [7]3 years ago
3 0

Answer:

child buffet = $16, adult buffet =$23

Step-by-step explanation:

lets assume that child buffets costs, $x

and adult buffets costs $y

2x+4y= $124 .............this is our first equation

x+4y =$108 ................our second equation

<em>2x + 4y = 124</em>

<em>2x = 124 - 4y</em>

<em>x = 62 - 2y ....from first equation</em>

---------------------------------------------------------------------------------------------------

<em>x+4y =$108</em>

<em>x = 108 -4y ... from second equation</em>

---------------------------------------------------------------------------------------------------

now we will solve it through simultaneous equations

<em>62 - 2y = 108 -4y</em>

<em>2y = 46</em>

<em>y = $23</em>

<em>if y =$23</em>

<em>then x = 108 - 4(23)</em>

<em>x = $16</em>

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