Question

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?

Answer 1

A hamburger costs $2.5 and a milkshake costs $1.75

Step-by-step explanation:

• Step 1: Form equations from the given details. Let cost of 1 hamburger be H and cost of 1 milkshake be M.

   4H + 2M = 13.50 ------ (1)

&  3H + 1M =   9.25 ------ (2)

• Step 2: Multiply eq(2) with 2 to make coefficients of M equal.

   6H + 2M = 18.50 ------- (3)

• Step 3: Subtract eq(3) from eq(1)

⇒ - 2H = - 5

⇒ H = $2.5

• Step 4: Substitute value of H in eq(2) to find M.

⇒ 3 × 2.5 + M = 9.25

⇒ 7.5 + M = 9.25

⇒ M = $1.75