Question

Jim is working at a restaurant. His first table ordered 4 sodas and 4 baskets of fries for $16.00. His second table ordered 4 sodas and 3
baskets of fries for $13.75.
What is the price of one soda?
A. $1.75
B. $1.95
C. $2.00
D. $2.25

Answer 1

Answer:

the price of each soda is $1.75

Step-by-step explanation:

Notice that there are two unknowns; the price of each soda  (let's assign the letter "s" to it), and the price of the basket of fries 9let's assign the letter "b" to it)

We can then write two equations using the information on the total price for each order:

(a)    4 s + 4 b = 16

(b)   4 s + 3 b = 13.75

we can now subtract term by term equation (b) from equation (a), and obtain:

4 s - 4 s + 4 b - 3 b =  16 - 13.75

0 + b = 2.25

So now that we know the price of each basket of fries ($ 2.25) , we can use that info in either equation and solve for "s". Let's use equation (a) for example:

4 s + 4 (2.25) = 16

4 s + 9 = 16

4 s = 16 - 9

4 s = 7

s = 7/4

s = 1.75

So, the price of each soda is $1.75