Question

At a concession stand , 5 hot dogs and 2 hamburgers cost 11.25. find the cost of 1 hot dog and 1 hamburger

Answer 1

im still having trouble trying to solve help?

Answer 2

can u explain step by step?

Answer 3

yes

Answer 4

asker, are you sure the question is complete?

Answer 5

yes its complete

Answer 6

oh no im sorry its not!! lol sorry here it goes i left out a part

Answer 7

At a concession stand 5 hot dogs and 2 hamburgers cost 9.75, 2 hot dogs and 5 hamburgers cost 11.25 Find the cost of 1 hot dog and 1 hamburger.

Answer 8

sorry for the mistake guys.

Answer 9

let :
d=cost of 1 hotdog
h=cost of 1 hamburger

so now you can write down your two equations...

Answer 10

d+h=9.75
h+d=11.25?

Answer 11

no...
that's
5(hotdogs) + 2(hamburgers) = 9.75
or
5d + 2h = 9.75

Answer 12

ok.

Answer 13

so what's the other equation involving 11.25 ???

Answer 14

2h+5d=11.25

Answer 15

.... and then?

Answer 16

yes.... so your two equations are:
5d + 2h = 9.75
2d + 5h = 11.25

Answer 17

wait.... the second equation is 2(hotdogs) + 5(hamburgers) = 11.25, right?

Answer 18

yes

Answer 19

ok...
do you know elimination or substitution to solve systems of equations?

Answer 20

some what not quite, can you show it to me

Answer 21

ok...

Answer 22

Take it like this...
\[5d+2h=9.75------1.\]\[2d+5h=11.25----2.\]Now multiply 1 by 2 to get\[10d+4h=19.5-----3.\]Now multiply 2 by 5.\[10d+15h=56.25------4.\]Then minus 4 by 3..

Answer 23

@Miyuru shows elimination of the "d" variable.. i'll let him continue.... :)

Answer 24

i think its -5

Answer 25

that u multiply by right isnt it -56.26

Answer 26

im stuck. please help

Answer 27

No I multiplied both sides by 5.. :)

Answer 28

ok... continuing what was done, subtracting the two equations

10d + 4 h = 19.75
10d + 25h = 56.25

Let's take (equation 2) - (equation 1) you'd get:
21h = 36.5

you see how i got that?

Answer 29

YES

Answer 30

I have done a multiplication error in equation no 4 :D

Answer 31

SO THEN YOU DIVIDE?

Answer 32

NO UR GOOD MIYURU

Answer 33

Thanks.. :D

Answer 34

WHAT DID U GET FOR THE COST OF EACH MIYURU?

Answer 35

I got h=1.7 and d=0.6

Answer 36

OK, AWESOME. THANK YOU.

Answer 37

mistake in the first equation:

10d + 4 h = 19.50
10d + 25h = 56.25

Let's take (equation 2) - (equation 1) you'd get:

21h = 36.75

Answer 38

from here, 36.75/21 = 1.75, the cost of 1 hamburger.
plug this cost into one of the original equations to get the cost of the hotdog.

Answer 39

@spimentel dpalnc has corrected a mistake... :D