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1 April, 02:19

Ashley's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Ashley $4.30 per pound, and type B coffee costs $5.90 per pound. This month, Ashley made 142 pounds of the blend, for a total cost of $749.80. How many pounds of type B coffee did she use?

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  1. 1 April, 02:24
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    Ashley used 87 pounds of type B coffee

    Explanation:

    4.3a + 5.9b = 749.80

    a + b = 142

    b = 142-a

    4.3a + 5.9 (142-a) = 749.80

    4,3a + 5.9 (142-a) = 749.80

    4.3a + 837.8 - 5.9a = 749.80

    4.3a - 5.9a = 749.80 - 837.80

    -1.6a = - 88

    a = - 88 / 1.6 = 55

    55 + b = 142

    b = 142 - 55 = 87

    That is the way we get how many pounds of type B coffee Ashley used
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