Question

Jamar to the local snack shop near his school He bought 3 hotdogs and 2 bags of chips for $Kenny went to the same snack shop and bought 5 hotdogs and 6 bags of chips for $9.55 ordered 2 hotdogs and 3 bags of chips, then how much did she pay her order?

Answer 1

Marcy paid $4.15

Explanation:

Given

Represent hotdogs with x and chips with y.

So, we have:

Jamal

`3x + 2y = 4.85`

Kenny

`5x + 6y = 9.55`

See attachment for complete question

Required

Determine the amount for 2x and 3y

From Jamal's and Kenny's orders we have:

`3x + 2y = 4.85` --- (1)

`5x + 6y = 9.55` --- (2)

Multiply (1) by 3

`3 * [3x + 2y = 4.85]`

`9x + 6y = 14.55` --- (3)

Subtract (2) and (3)

`9x - 5x + 6y - 6y = 14.55 - 9.55`

`9x - 5x = 5`

`4x = 5`

Solve for x

`x = (5)/(4)`

`x = 1.25`

Substitute
`x = 1.25` in
`3x + 2y = 4.85`

`3 * 1.25 + 2y = 4.85`

`3.75 + 2y = 4.85`

Solve for y

`y = (4.85 - 3.75)/(2)`

`y = (1.10)/(2)`

`y = 0.55`

So, the cost of 2x and 3y is:

`Cost = 2x + 3y`

`Cost = 2*1.25 + 3*0.55`

`Cost = \$4.15`