Mathematics

10th -

11thgrade

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6 system of linear of equations of 3 variables word problems

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8 questions

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  • 1. Multiple Choice
    5 minutes
    1 pt

    Three friends are making homecoming mums before the big game. When all three friends are working, they produce 6 mums per hour. When only Friend B and Friend C are working, they make 5 mums per hour. When only Friend A and Friend B are working, they make 4 mums per hour.

    What system of equations represents the scenario above?

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  • 2. Multiple Choice
    15 minutes
    1 pt

    Maya bought a dozen specialty donuts at the bakery for $18. She purchased a mixture of frosted donuts for $2 each, glazed donuts for $1 each, and custard filled donuts for $5 each. If Maya purchased twice as many frosted donuts as custard filled donuts, how many of each type of donut did she buy?

    3 frosted, 8 glazed, and 1 custard

    4 frosted, 7 glazed, and 1 custard

    2 frosted, 9 glazed, and 1 custard

    1 frosted, 7 glazed, 4 custard

  • 3. Multiple Choice
    5 minutes
    1 pt

    The combined age of three sisters is 74. The eldest sister’s age is twelve less than the sum of her sisters’ ages. The middle sister is five years older than the youngest. What system of equations represents this scenario?

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