Andy bought 4 hamburgers snd 2 milkshakes for $13.50. Danny bought 3 hamburgers and 1 milkshake for $9.25. What cost of a hamburger and milkshake?
Let the cost of a hamburger = H
Let the cost of a milkshake be = M
So we have that
4H + 2M = 1350
3H + 1M = 925
Multiply the second equation by - 2
4H + 2M = 1350
-6H - 2M = -1850 add these
-2H = -500 divide both sides by -2
H = 250 = 2.50
And
3(250) + M = 925
750 + M = 925
M = 175 = 1.75
(4H+2M)-(3H-1M)=1H AND 1M (SUBTRACT LIKE TERMS)
SUBTRACT PRICES: $13.50-$9.25=$4.25
1 HAMBURGER AND 1 MILKSHAKE IS $4.25.