Answer:
Samantha should plan to spend $7.
Step-by-step explanation:
Let the price of 1 pizza be = p
Let the price of 1 coke = c
Let the price of 1 pack of chips = b
As per table, we get following equations:
[tex]p+c+b=9[/tex] or [tex]p=9-c-b[/tex] ......(1)
[tex]p+2c=10[/tex] .......(2)
[tex]2p+2b=12[/tex] ......(3)
Substituting the value of p from (1) in (2)
[tex]9-c-b+2c=10[/tex]
=> [tex]c-b=1[/tex] ......(4)
Substituting the value of p from (1) in (3)
[tex]2(9-c-b)+2b=12[/tex]
=> [tex]18-2c-2b+2b=12[/tex]
=> [tex]18-2c=12[/tex]
=> [tex]2c=18-12[/tex]
=> [tex]2c=6[/tex]
c = 3
We have [tex]c-b=1[/tex]
=> [tex]b=c-1[/tex]
=> [tex]b=3-1[/tex]
b = 2
And [tex]p=9-c-b[/tex]
[tex]p=9-3-2[/tex]
p = 4
We get the following cost now.
Cost of 1 pizza = $4
Cost of 1 coke = $3
Cost of 1 chips bag = $2
We have been given that Samantha wants two bags of chips and a coke.
So, she should spend [tex](2\times2)+3[/tex]= [tex]4+3=7[/tex]
Hence, Samantha should plan to spend $7.
