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13 December, 00:35

Melvin Marshall bought 20 Mothers Day Muffins for Mama-Melanie, Auntie-Marlene, Grandma-Melissa, Cousin Carmela and Sister-Shamina. Some were carmel-glazed muffins and some were lemon. The Carmel muffins cost $3.00 each and the Lemons cost $2.50 ... A) If Melvin spent $54.00 altogether, how many muffins were Carmel and how many were Lemon?

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  1. 13 December, 01:59
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    The number of Carmel muffins is 8 and the number of lemon muffins is 12.

    Step-by-step explanation:

    Melvin Marshall bought a total of 20 Muffins. Some were camel-glazed muffins and some were lemon. The Carmel muffins cost $3 each while the lemons cost $2.5. The number of carmel muffins and lemon muffins can be calculated as follows

    total number of muffin = 20

    Let

    a = number of carmel - glazed muffins

    b = number of lemon muffins

    a + b = 20 ... (i)

    The total cost

    3a + 2.50b = 54 ... (ii)

    Combine the equations

    a + b = 20 ... (i)

    3a + 2.50b = 54 ... (ii)

    a = 20 - b

    insert the value of a in equation (ii)

    3 (20 - b) + 2.50b = 54

    60 - 3b + 2.50b = 54

    60 - 54 = 0.5b

    0.5b = 6

    divide both sides by 0.5

    b = 6/0.5

    b = 12

    Insert the value of b in equation (i)

    a + b = 20 ... (i)

    a + 12 = 20

    a = 20 - 12

    a = 8

    The number of Carmel muffins is 8 and the number of lemon muffins is 12.
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