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

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)

Step-by-step 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)

answer: for each 3 girls there is 2 boys . 3: 2

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