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To make a salad, a caterer uses 3 carrots for every 4 tomatoes. If she uses 36 tomatoes, how many carrots should she use? She should use ____ carrots.

To make a salad, a caterer uses 3 carrots for every 4 tomatoes. If she uses 36 tomatoes, how many carrots should she use?

She should use ____ carrots.




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1 Answer

  1. To find out how many carrots the caterer should use, we can set up a ratio based on the information given. The ratio of carrots to tomatoes is 3:4.

    1. Identify the ratio: For every 4 tomatoes, there are 3 carrots.
    2. Set up the proportion: If there are 36 tomatoes, we can set up the equation:

    [

    frac{3 text{ carrots}}{4 text{ tomatoes}} = frac{x text{ carrots}}{36 text{ tomatoes}}

    ]
    3. Cross-multiply:

    [

    3 times 36 = 4 times x

    ]

    [

    108 = 4x

    ]
    4. Solve for x:

    [

    x = frac{108}{4} = 27

    ]

    Thus, she should use 27 carrots.

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