Jose ran a concession stand last Saturday and made $79.80 from selling a total of 42 hot dogs and hamburgers. Each hot dog sold for $1.50 and each hamburger sold for $2.70. Which system of equations can be used to determine the number of hot dogs, x, and hamburgers, y, that were sold?

x + y = 42

1.50x + 2.50y = $79.80

x = 28 hot dogs

y = 14 hamburgers

Step-by-step explanation:

x = hot dogs

y = hamburgers

Equation:

x + y = 42

1.50x + 2.50y = $79.80

I used Substitution

x = 42 - y

1.50(42 - y) + 2.50y = 79.80

63 - 1.50y + 2.70y = 79.80

63 + 1.2y = 79.80

Substract 63 from both sides

1.2y = 16.8

Divide 1.2 on both sides

y = 14

x + y = 42

x + 14 = 42

x = 28

y = 14

Don't know how to explain that well, I hope this helps.

step-by-step explanation:

x-intercept:

(

−

1

+

√

7

,

0

)

,

(

−

1

−

√

7

,

0

)

y-intercept:

(

0

,

−

6

)