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6 July, 03:53

There were 208 tickets purchased for a major league baseball game. The lower box tickets cost $12.50 and the upper box tickets cost $10.00. The total amount of money spent was $2187.50. How many of each kind of ticket were purchased?

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  1. 6 July, 04:00
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    so 189 (from 189.66) lower box tickets are sold and 18 upper box tickets are sold

    Step-by-step explanation:

    lets take "x" as the # of lower box tickets

    and "y" as the number of upper box tickets

    so in total the number of tickets sold was 208

    so x+y=208

    next, we know that each lower box ticket costs 12.50 and each upper box tickets costs 10 and the total amount of money spent was $2187.50 so:

    12.5x+10y=2187.50

    lets subtract "x" from both sides in first equation to find value of y

    y=208-x

    now substitute y in equation number 2:

    12.5x-10 (208-x) = 2187.5

    12.5x-2080+10x=2187.5

    22.5x-2080=2187.5

    22.5x=4267.5

    x=189.666

    so 189 tickets lower box tickets were purchased now, substitute 190 in equation 1 to find value of "y"

    y=208-190

    y=18

    so 189 (from 189.66) lower box tickets are sold and 18 upper box tickets are sold
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