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23 September, 17:41

Jordan paid $11.20 for 5 pears and 6 peaches. The cost of 3 pears is as much as 2 peaches. Find the cost of a pear. Find the cost of a peach.

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  1. 23 September, 17:56
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    Let X represent the cost of 1 pear and Y represent the cost of 1 peach.

    Use the given information to set up a system of equations:

    5X + 6Y = 11.20

    3X = 2Y

    Use the second equation to solve for Y:

    3X = 2Y

    Y = 1.5X

    Plug the new found value for Y into the first, unused equation:

    5X + 6 (1.5X) = 11.20

    Simplify:

    5X + 9X = 11.20

    or

    14X = 11.20

    Solve for X:

    X =.8

    Now that you have the value for X, you can plug it into either of the first two equations to solve for Y:

    3X = 2Y

    3 (.8) = 2Y

    2.4 = 2Y

    Y = 1.2

    Each pear is $0.80 and each peach is $1.20.
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