Question

A tennis couch took his team out for like lunch and bought a burgers in five fries for $24. The players were still hungry so the coach bought 6 more burgers and two more fries for $16.60. Find the cost of each

Answer 1

Answer: each burger costs $1.25

Each fry costs 4.55

Explanation:

Let x represent the cost of one burger.

Let y represent the cost of one fry.

The tennis coach took his team out for lunch and bought a burger and five fries for $24. This means that

x + 5y = 24- - - - - - - - - - - - -1

The players were still hungry so the coach bought 6 more burgers and two more fries for $16.60. This means that

6x + 2y = 16.6 - - - - - - - - - - - -2

Multiplying equation 1 by 6 and equation 2 by 1, it becomes

6x + 30y = 144

6x + 2y = 16.6

Subtracting, it becomes

28y = 127.4

y = 127.4/28

y = 4.55

Substituting y = 4.55 into equation 1, it becomes

x + 5 × 4.55 = 24

x + 22.75 = 24

x = 24 - 22.75

x = 1.25

Answer 2

Cost of the burger is $1.25 and the fries is $4.55

Explanation:

• Step 1: Let the cost of a burger be x and that of fries be y. Form equations out of the given data.

x + 5y = 24 ------ (1)

6x + 2y = 16.60 ------ (2)

• Step 2: Multiply eq(1) by 6 to make the coefficients of x equal.

6x + 30y = 144

6x + 2y = 16.60

• Step 3: Subtract eq(2) from eq(1)

28y = 127.40

y = $4.55

• Step 4: Find x.

x + 5 × 4.55 = 24

x + 22.75 = 24

x = $1.25