ALGEBRA

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A hardware supplier manufactures three kinds of clamps, types A, B, and C. Production
restrictions force it to make 10 more type C clamps than the total of the other types
and twice as many type B clamps as type A clamps. The shop must produce 250 clamps per day.
How many of each type are made per day?

How many type A clamps are produced?
How many type B clamps are produced?
How many type C clamps are produced?

  • ALGEBRA -

    a+b+c = 250
    c = 10 + (a+b)
    b = 2a

    rearrange things a bit:

    a + b + c = 250
    -a - b + c = 10
    -2a + b = 0

    add the top two to get
    2c = 260
    c = 130

    a+b-130 = -10
    a+2a-130 = -10
    3a = 120
    a = 40
    b = 80

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