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24 September, 18:05

Each course at Mt. Regis College is worth either 3 or 4 credits. The members of the men's swim team are taking a total of 48 courses that are worth a total of 155 credits. How many 3-credit courses and how many 4-credit courses are being taken

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  1. 24 September, 21:55
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    3 Credit Courses = 37

    4 Credit Courses = 11

    Step-by-step explanation:

    1. Set up 2 equations:

    3x + 4y = 155

    x + y = 48

    2. Simplify the second expression for x by subtracting y from both sides

    x = 48 - y

    3. Substitute 48 - y for x

    3 (48-y) + 4y = 155

    4. Simplify the expression by multiplying by 3

    144 - 3y + 4y = 155

    5. Subtract 144 from both sides and subtract 3y from 4y

    y = 11 = 4 Credit Courses

    6. Substitute y for equation 2

    x = 48-11

    7. solve for x

    x = 37 = 3 Credit Courses
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