Question

The booster club sold hamburgers and hot dogs at a high school basketball game. They sold 300 hamburgers and 400 hot dogs, and raised a total of $1500. The combined cost of one hamburger and one hotdog was $4.

The equations and graph below can be used to determine how much each type of food cost, where m represents the cost of one hamburger and h represents the cost of one hot dog.

Total food sales: 300m + 400h = 1500
Total cost for one hamburger and one hot dog: m + h = 4

What was the price, in dollars, of a hotdog?

Answer 1

m + h = 4 <--- can you solve that for say "h" ?

Answer 2

What do you mean?

Answer 3

isolate "h" on the left-hand side

Answer 4

Oh! 4 - m = h ?

Answer 5

yeap so , now we know that 4-m = h

actually..... simpler if we had isolated "m" but anyhow
4-m = h or one could also say
4-h = m if we isolate "m"


so let us use that in the other equation \(\bf m + h = 4\implies 4-h={\color{red}{ m}}
\\ \quad \\
300{\color{red}{ m}} + 400h=1500\implies 300({\color{red}{ 4-h}}) + 400h=1500\)

then solve for "h", or isolate "h"
to know how much a hamburger costs

Answer 6

So it's 3?

Answer 7

Oh my gosh thank you so much!

Answer 8

yeap

Answer 9

must be really good hotdogs for $3 =)

Answer 10

haha yes. thanks again by the way!

Answer 11

yw