Question

Paul buys 5 bags of chips and 9 bags of pretzels for $16.95. Ian buys 1 bag of chips and 1 bag of pretzels for $2.55. Find the cost of one bag of chips and one bag of pretzels.

Answer 1

Answer: The cost of one bag of chips is $1.5 and cost of one bag of pretzels is $1.05.

Explanation:

Let x= Cost of one bag of chips

y= Cost of one bag of pretzels.

As per given, we have

5x+9y=16.95 ...(i)

x+y=2.55 ...(ii)

Multiply 5 to (ii), we get

5x+5y=12.75 ...(iii)

Eliminate (iii) from (i), we get

`4y=4.2\\\\\Rightarrow\ y=1.05`

Put value of y in (ii), we get

`x+1.05=2.55\\\\\Rightarrow\ x=2.55-1.05=1.5`

Hence, the cost of one bag of chips is $1.5 and cost of one bag of pretzels is $1.05.