contestada

Tony is in charge of the concession stand. he charges $4.00 for two hot dogs and two sodas. he charges $4.50 for three hot dogs and one soda. how much does tony charge per hot dog? how much per soda? -$1.00 per hotdog;$0.50 per soda -$1.25 per hotdog;$0.75 per soda -$1.50 per hotdog;$0.75 per soda -$2.00 per hotdog; $1.00 per soda

Respuesta :

tgygb
i dont get it at all  ithink you need to take this part out -$1.00 per hotdog;$0.50 per soda -$1.25 per hotdog;$0.75 per soda -$1.50 per hotdog;$0.75 per soda -$2.00 per hotdog; $1.00 per soda
calculista

Answer:

[tex]\$1.25[/tex] per hot dog and [tex]\$0.75[/tex] per soda

Step-by-step explanation:

Let

x------> the charge per hot dog

y-----> the charge per soda

we know that

[tex]2x+2y=4[/tex] ------> equation A

[tex]3x+y=4.50[/tex] ------> equation B

Multiply by [tex]-2[/tex] equation B

[tex]-2(3x+y)=-2*4.50[/tex]

[tex]-6x-2y=-9[/tex] ------> equation C

Adds equation A and equation C

[tex]2x+2y=4\\-6x-2y=-9\\---------\\ 2x-6x=4-9\\-4x=-5\\x= \$1.25[/tex]

Find the value of y

[tex]3x+y=4.50[/tex]

[tex]3(1.25)+y=4.50[/tex]

[tex]y=4.50-3.75=\$0.75[/tex]

therefore

[tex]\$1.25[/tex] per hot dog and [tex]\$0.75[/tex] per soda

Otras preguntas