Question

Algebra: mrs. Davis spent $120 on lunch for a business meeting. Sandwiches,x, cost $4 and drinks, y, cost $1.50. A) write a function that relates the number of sandwiches and drinks purchased for lunch b) find three pairs of solutions to your equations above

Answer 1

a) Total number of Sandwiches and drinks purchased = x + y

b)The three possible solution to the given equation is

: (25,4), (20,8) and (15,12)

Explanation:

Number of sandwiches in Lunch = x

Cost of each sandwich = $4

Number of Drinks in Lunch = y

Cost of each drink = $1.50

a) So, the total number of Sandwiches and drinks purchased in Lunch

= Number of sandwiches purchased + Number of drinks purchased

= x + y

or, the total number of Sandwiches and drinks purchased = x + y

Now According to the question:

4 x + 5 y = 120

To find possible pairs of solution take any arbitrary value for y .

Let y = 4, then 4x = 120 - 20 = 100

or, x = 100/4 = 25 ⇒ x =25

Let y = 8, then 4x = 120 - 420 = 80

or, x = 80/4 = 20 ⇒ x = 20

Similarly, for y = 12, x = 15

So, the three possible solution to the given equation is : (25,4), (20,8) and (15,12)