Answer:
Price of each muffin = $1.25
Price of each granola bar = $1.6
Step-by-step explanation:
Group 1:
6 muffins, 12 granola bars
Total money paid = $26.70
Group 2:
8 muffins, 15 granola bars,
Total money paid = $34.00
To find:
Price of each item?
Solution:
Let the price of one muffin = $[tex]x[/tex]
Let the price of one granola bar = $[tex]y[/tex]
As per group 1, the equation can be written as:
[tex]6x+12y=26.70\\\Rightarrow x+2y=4.45 .... (1)[/tex]
As per group 2, the equation can be written as:
[tex]8x+15y = 34[/tex] .... (2)
Let us use elimination method to solve for [tex]x[/tex] and [tex]y[/tex].
Multiplying equation (1) with 8 and subtracting (2) from it:
[tex]16y-15y = 35.6 - 34\\\Rightarrow y = 1.6[/tex]
Using equation (1):
[tex]x+3.2=4.45\\\Rightarrow x = 1.25[/tex]
Therefore, the answer is:
Price of each muffin = $1.6
Price of each granola bar = $1.25
