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30 April, 07:23

A gas station sells regular gas for $2.20 per gallon and premium gas for $3.00 a gallon. at the end of a business day 300 gallons of gas has been sold, and receipts totaled $700. how many gallons of each type of gas had been sold

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  1. 30 April, 07:40
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    You can use a system of equations to answer this question.

    1st: 2.20r + 3p = 700 is showing how to get the total cost.

    2nd: r + p = 300 shows how many gallons were sold.

    If we solve r + p = 300 for r, we can then solve the first equation in terms of r only.

    r + p = 300

    p = 300 - r Use this in place of p in the first equation.

    2.20r + 3p = 700

    2.2r + 3 (300 - r) = 700

    2.2r + 900 - 3r = 700

    -900 - 900

    2.2r - 3r = - 200

    -0.8r = - 200

    -0.8 - 0.8

    r = 250 gallons

    There were 250 regular gallons sold and 50 premium gallons sold (300 - 250).
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