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10 September, 01:43

Sing acts are 5 min long and comedy acts are 3 min long. The show has 12 acts and last 50 min. How many singing acts and how many comedy acts are in the show?

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  1. 10 September, 04:43
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    Answer

    so there are 7 singing acts and 5 comedy acts.

    Step-by-step explanation:

    Let x = number of singing acts.

    Let y = number of comedy acts.

    We will take x+y=12 as our first equation, as there are 12 shows in total. We will take 5x+3y=50 as our second equation as there are 50 total minutes, and singing acts are 5 mins and comedy acts are 3 mins.

    We solve x+y=12

    Y=-x+12

    We know y=-x+12, so we will substitute that for the y in the second equation.

    1. Substitute 5x+3 (-x+12) = 50

    2. Distribute 5x-3x+36=50

    3. Solve 2x+36=50

    2x=14

    X=7

    Now that we have found x, we will find y by substitute the x in 5x+3y=50 with the value, 7, that we found for x.

    5 (7) + 3y=50

    35+3y=50

    3y=15

    Y=5
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