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28 November, 23:59

How many gallons of fuel costing $1.15 a gallon must be mixed with a fuel costing $0.85 per gallon to get 40 gallons of a fuel that costs $1 per gallon? Formulate an equation and then solve it in order to determine how many gallons of fuel costing $1.15. Show all of your work.

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  1. 29 November, 00:16
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    Let x = the required number of gallons of fuel $1.15 per gallon.

    From the problem description, you can write:

    x ($1.15) + 20 ($0.85) = (20+x) ($1.00) Simplify and solve for x.

    1.15x+17 = 20+x Subtract x from both sides.

    0.15x+17 = 20 Subtract 17 from both sides.

    0.15x = 3 Finally, divide both sides by 0.15

    x = 20

    You would need to add 20 gallons of fuel $1.15 per gallon to 20 gallons of fuel $0.85 per gallon to obtain 40 gallons of fuel $1.00 per gallon.

    This might not be correct but I hope it will be useful to you : 3
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