Answer:
1 Hot dog = $2.50; 1 Nacho = $3.00
Step-by-step explanation:
Let x be the cost of 1 hotdog
let y be the cost of 1 nacho
6
x
+
3
y
=
24 (Equation 1)
8
x
+
1
y
=
23 (Equation 2)
Divide equation 1 by 3
2
x
+
y
=
8 (Equation 3)
Subtract Equation 3 from Equation 2
8
x
−
2
x
+y
−
y
=
23
−
8
Simplifying
6
x
=
15
1 Hot dog = $2.50
Substitute the value calculated above into Equation 1
15
+
3
y
=
24
3
y
=
9
1 Nacho = $3.00
