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25 January, 15:30

Jaclyn gets a hit 40% of the time while playing softball. She is going to use colored tiles to simulate her chances of getting a hit. Green tiles will represent hits, while red tiles will represent times Jaclyn does not get a hit. She will place the tiles in a bag, and then draw the tiles from the bag one at a time. Jaclyn places 12 green tiles in a bag. How many red tiles should she place in the bag?

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  1. 25 January, 16:40
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    18 red tiles

    Step-by-step explanation:

    One way to look at this problem would be to take the number of tiles that Jaclyn used to get a possibility of 40% hits.

    Jaclyn put 12 green tiles, this represents the 40% of the hits that she could get.

    Now we know that 12 = 40%

    We need to find how many red tiles she should put to still keep the 12 green tiles as 40%. We can also assume that 12 red tiles would be another 40%.

    So we have 12 red tiles currently.

    Now we still have another 20% left.

    Since 12 red tiles = 40%, we can assume that:

    6 red tiles = 20% of the total.

    So if we add both the 40% red tiles to the 20% red tiles we get:

    12 + 6 = 18 red tiles.

    So Jaclyn will have to put 18 red tiles and 12 green tiles to simulate her chances of getting a hit.
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