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19 January, 04:21

Bob drives a truck for a soft drink company. His truck is filled with 15 oz cans and 70 oz bottles. Let C be the number cans and b be the number of bottles. The truck must be carrying less than 7000 lbs. find the inequality describing this.

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  1. 19 January, 04:32
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    Using ounces, the inequality should be:

    15c + 70b < 112,000

    Using pounds, the inequality should be:

    0.9375c + 4.375b < 7,000

    Step-by-step explanation:

    1. Let's review the information provided to us to answer the question correctly:

    Weight of a can of soft drink (c) = 15 ounces

    Weight of a bottle of soft drink (b) = 70 ounces

    The truck mist be carrying less than 7,000 pounds

    2. Find the inequality describing this.

    Let's recall that 1 pound = 16 ounces and 1 ounce = 0.0625 pounds

    c = Number of cans in the truck

    b = Number of bottles in the truck

    Upon saying that, we can write the inequality either using ounces or pounds, this way:

    Using ounces, the inequality should be:

    15c + 70b < 7,000 * 16

    15c + 70b < 112,000

    Using pounds, the inequality should be:

    15 * 0.0625c + 70 * 0.0625b < 7,000

    0.9375c + 4.375b < 7,000
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