Answer:
Step-by-step explanation:
a) Price of 4 bowls of soup + 6 hamburgers = $30
4s + 6h = 30 ---------------------(I)
Price of 1 bowl of soup + 3 hamburgers = $ 12.75
s + 3h = 12.75 -------------------(II)
b) s = 12.75 - 3h
Substitute the value of s = 12.75 - 3h in equation (I)
4*(12.75 - 3h) + 6h = 30
4*12.75 - 4 *3h + 6h = 30
51.00 - 12h + 6h = 30
51 - 6h = 30 {Now subtract 51 from both sides}
51 - 6h - 51 = 30 - 51
-6h = -21 {Now, divide both sides by (-6)}
-6h/-6 = -21/-6
h = 3.50
Price of one hamburger = $3.50
Substitute the value of h in equation (II)
s + 3 *3.50 = 12.75
s + 10.50 = 12.75 {Subtract 10.50 from both sides}
s + 10.50 - 10.50 = 12.75 - 10.50
s = 2.25
Price of one soup = $ 2.25
c) Price of 1 soup and 1 hamburger = 2.25 + 3.50
Price of 1 soup and 1 hamburger = $ 5.75
