Question

1) At a diner, the cost for a specialty waffle and a hashbrown is $9.50. The cost for 2 specialty

waffles and 3 hashbrowns is $20.50. Determine the cost of a waffle and the cost of a hashbrown.

Answer 1

9514 1404 393

Answer:

• waffle $8
• hashbrowns $1.50

Explanation:

Using w and h for the costs of a waffle and hashbrowns, respectively, we can write the equations for the purchase amounts as ...

w + h = 9.50

2w + 3h = 20.50

Subtracting twice the first equation from the second gives ...

(2w +3h) -2(w +h) = (20.50) -2(9.50)

h = 1.50 . . . . . . simplify

w = 9.50 -h = 8.00 . . . . . find w using the first equation

The cost of a waffle is $8.00; the cost of hashbrowns is $1.50.