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

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

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calculista calculista · Answer 2 · 2018-12-16T15:41:43-05:00

Answer:

$\$1.25$ per hot dog and $\$0.75$ per soda

Step-by-step explanation:

Let

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

y-----> the charge per soda

we know that

$2x+2y=4$ ------> equation A

$3x+y=4.50$ ------> equation B

Multiply by $-2$ equation B

$-2(3x+y)=-2*4.50$

$-6x-2y=-9$ ------> equation C

Adds equation A and equation C

$2x+2y=4\\-6x-2y=-9\\---------\\ 2x-6x=4-9\\-4x=-5\\x= \$1.25$

Find the value of y

$3x+y=4.50$

$3(1.25)+y=4.50$

$y=4.50-3.75=\$0.75$

therefore

$\$1.25$ per hot dog and $\$0.75$ per soda