Answer:
Cost of each chocolate bar = $2.65
Cost of each blow pop = $1.25
Step-by-step explanation:
Let x = Cost of chocolate bar
y= Cost of blow pops
We can make system of equations and find value of x and y
You bought 5 chocolate bars and 8 blow pops for $23.25.[tex]5x+8y=23.25[/tex]
Your sister bought 2 chocolate bars and 13 blow pops for $21.55. [tex]2x+13y=21.55[/tex]
Let:
[tex]5x+8y=23.25--eq(1)\\2x+13y=--eq(2)[/tex]
Multiply eq(1) with 2 and eq(2) with 5 and subtract
[tex]10x+16y=46.5\\10x+65y=107.75\\- \ \ \ - \ \ \ \ \ \ - \\------\\-49y=-61.25\\y=\frac{-61.25}{-49} \\y=1.25[/tex]
So, value of y = 1.25
Putting value of y in eq(1) to find value of x
[tex]5x+8y=23.25\\5x+8(1.25)=23.25\\5x+10=23.25\\5x=23.25-10\\5x=13.25\\x=13.25/5\\x=2.65[/tex]
Value of x = 2.65
So, Cost of each chocolate bar = x = $2.65
Cost of each blow pop = y = $1.25
