On a recent trip to the convenience store you picked up 2 gallons of milk five bottles of water and eight snack size bags of chips your total was $25 if a bottle of water cost twice as much as a bag of chips and a gallon of milk cost $1.50 more than a bottle of water how much does each item cost

2 milks + 5 waters + 8 chips = $25

water cost = 2×chips cost

milk cost = $1.50 + water cost

The cost of each: milk, water, chips.

Let m, w, and c represent the costs of milk, water, and chips, respectively. We can write the given relations more compactly as

... 2m + 5w + 8c = 25

... w = 2c

... m = w + 1.5

We can substitute for w everywhere using the second equation. This gives us

... m = 2c +1.5

... 2(2c+1.5) + 5(2c) + 8(c) = 25

... 22c + 3 = 25

... 22c = 22

... c = 1

Then

... m = 2·1 + 1.5 = 3.5

... w = 2·1 = 2

A gallon of milk costs $3.50, a bottle of water costs $2.00, a bag of chips costs $1.00.

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