Answer:
Samantha should plan to spend $7.
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:
or
......(1)
.......(2)
......(3)
Substituting the value of p from (1) in (2)
![9-c-b+2c=10](https://img.qammunity.org/2020/formulas/mathematics/middle-school/ua0ufv01158xriv6cx3t282c4h77f906ho.png)
=>
......(4)
Substituting the value of p from (1) in (3)
![2(9-c-b)+2b=12](https://img.qammunity.org/2020/formulas/mathematics/middle-school/5fc4n2ev395hw2cvmth9c19e4gkvjiy82u.png)
=>
![18-2c-2b+2b=12](https://img.qammunity.org/2020/formulas/mathematics/middle-school/q33n7lm6cm9bcoettdtfe6ew9hjgnij215.png)
=>
![18-2c=12](https://img.qammunity.org/2020/formulas/mathematics/middle-school/bmt46uz5emng9zxs04odlo2ja70ek37xec.png)
=>
![2c=18-12](https://img.qammunity.org/2020/formulas/mathematics/middle-school/83tk4fd2blwm4jvhj3e3zopm9b9xdha12b.png)
=>
![2c=6](https://img.qammunity.org/2020/formulas/mathematics/middle-school/j39thto4c1s3wwccbrqe6xacxpt9visqul.png)
c = 3
We have
![c-b=1](https://img.qammunity.org/2020/formulas/mathematics/middle-school/dp5st2z6hg2fw8y42aaplnj1gbjmj2up5n.png)
=>
![b=c-1](https://img.qammunity.org/2020/formulas/mathematics/middle-school/z1cinfpajvcuurzzs70dofmsjlan4bbwgb.png)
=>
![b=3-1](https://img.qammunity.org/2020/formulas/mathematics/middle-school/zoh66vbud2y5mb1scqfksd8u9qpmzh5twp.png)
b = 2
And
![p=9-c-b](https://img.qammunity.org/2020/formulas/mathematics/middle-school/23fx0iu1hx8vski3p5bwtf7cks16g614bl.png)
![p=9-3-2](https://img.qammunity.org/2020/formulas/mathematics/middle-school/q2rium9nmc27vhg2azvrinup9677rxwtlw.png)
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
=
![4+3=7](https://img.qammunity.org/2020/formulas/mathematics/middle-school/ud3bxaatiev6b08e0vzwc0u7mmj3416o8k.png)
Hence, Samantha should plan to spend $7.