Question

A tennis coach took his team out for lunch and bought 8 hamburgers and 5 fries for $24. The players were still hungry so the coach bought six more hamburgers and two more fries for $16.60. find the cost of each.

Answer 1

The cost of 1 hamburger is $ 2.5 and cost of 1 fries is $ 0.8

Solution:

Let "f" be the cost of 1 fries

Let "h" be the cost of 1 hamburger

Given that, tennis coach took his team out for lunch and bought 8 hamburgers and 5 fries for $24

8 x cost of 1 hamburger + 5 x cost of 1 fries = 24

`8 * h + 5 * f = 24`

8h + 5f = 24 -------- eqn 1

The players were still hungry so the coach bought six more hamburgers and two more fries for $16.60

6 x cost of 1 hamburger + 2 x cost of 1 fries = 16.60

`6 * h + 2 * f = 16.60`

6h + 2f = 16.60 ------ eqn 2

Let us solve eqn 1 and eqn 2

Multiply eqn 1 by 2

16h + 10f = 48 ------ eqn 3

Multiply eqn 2 by 5

30h + 10f = 83 -------- eqn 4

Subtract eqn 3 from eqn 4

30h + 10f = 83

16h + 10f = 48

( - ) ----------------------

14h = 35

h = 2.5

Substitute h = 2.5 in eqn 1

8(2.5) + 5f = 24

20 + 5f = 24

5f = 4

f = 0.8

Thus cost of 1 hamburger is $ 2.5 and cost of 1 fries is $ 0.8