Question

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

Answer 1

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

Answer 2

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

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