On a recent trip to the convenience store, you picked up 3 gallons of milk, 4 bottles of water, and 8 snack-size bags of chips. your total bill (before tax) was $21.30. if a bottle of water costs twice as much as a bag of chips, and a gallon of milk costs $1.60 more than a bottle of water, how much does each item cost?

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Edtays7709 Edtays7709

12-04-2018
Mathematics

contestada

On a recent trip to the convenience store, you picked up 3 gallons of milk, 4 bottles of water, and 8 snack-size bags of chips. your total bill (before tax) was $21.30. if a bottle of water costs twice as much as a bag of chips, and a gallon of milk costs $1.60 more than a bottle of water, how much does each item cost?

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Mrscomputator Mrscomputator · Answer 1 · 2018-04-21T13:50:10+02:00

To find the answer you will write and equation in terms of the cost of a bag of chips.

3(cost of milk) + 4 (cost of water) + 8 (cost of bag of chips) = $21.30
3 (2c +1.60) + 4 (2c) + 8 (c) = $21.30 ; Simplify
6c + 4.80 + 8c + 8c = 21.30
22c + 4.80 = 21.30
- 4.80 -4.80
22c = $16.50
22 22
c = 0.75

The chips cost $0.75 each.

The milk costs (2 x $0.75 + $1.60) $3.10 each.

The water costs (2 x $0.75) $1.50 each.

keshavgandhi04 keshavgandhi04 · Answer 2 · 2021-12-08T07:42:54+01:00

The cost of the 1 gallon of milk be $3.1, the cost of 1 bottle of water be $1.5, and the cost of 1 snack size bag be $0.75 and this can be determined by forming the linear equations.

Given :

On a recent trip to the convenience store, you picked up 3 gallons of milk, 4 bottles of water, and 8 snack-size bags of chips. your total bill (before tax) was $21.30.
A bottle of water costs twice as much as a bag of chips, and a gallon of milk costs $1.60 more than a bottle of water.

The following steps can be used in order to determine the cost of each item:

Step 1 - Form the linear equations with the help of the given data in order to determine the cost of each item.

Step 2 - Let the cost of the 1 gallon of milk be 'x', the cost of 1 bottle of water be 'y', and the cost of 1 snack size bag be 'z'.

Step 3 - The linear equation that represents the total bill amount is given by:

3x + 4y + 8z = 21.30 --- (1)

Step 3 - According to the given data, a bottle of water costs twice as much as a bag of chips, and a gallon of milk costs $1.60 more than a bottle of water. The linear equation that represents these situations is:

y = 2z

z = y/2 --- (2)

x = 1.6 + y --- (3)

Step 4 - Substitute the value of x and z in equation (1).

[tex]\rm 3(1.6 + y) + 4y + 8(\dfrac{y}{2}) = 21.30[/tex]

Step 5 - Simplify the above equation in order to determine the value of 'y'.

4.8 + 3y + 4y + 4y = 21.30

11y = 16.5

y = $1.5

Step 6 - Substitute the value of 'y' in equation (2) and equation (3).

z = 1.5/2

z = $0.75

x = 1.6 + 1.5

x = $3.1

For more information, refer to the link given below:

https://brainly.com/question/11897796