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13 January, 01:42

Yumi wants to make 12 cups of party mix using candies and nuts her budget require the party mix to cost her $1 29 per cup. The candies are $ 2.49 per cup and nuts are 0.69 per cup how many cups of candiez and how many cups of nuts

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  1. 13 January, 03:32
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    Acording to the question,

    Cost per cup = $1.29

    Total number of cups = 12

    Total cost of cups = 12 x 1.2 = $15.48

    Cost of candies = $2.49 per cup

    Total number of candies = x

    Cost of nuts = $0.69 per cup

    Total number of nuts = y

    Equations:

    x + y = 12 (because total cups of nuts and candies will be equal to 12)

    2.49x + 0.69y = 15.48 (Total cost of the 12 cups should be 15.48)

    Step 1 : Find x in terms of y

    x = 12 - y

    Step 2 : substitute x in terms of y from step 1 in the second equation

    2.49x + 0.69y = 15.48

    2.49 (12 - y) + 0.69y = 15.48

    29.88 - 2.49y + 0.69y = 15.48

    -1.8y = - 14.4

    y = 14.4/1.8

    y = 8

    Step 3 : Find x

    x + y = 12

    x = 12 - y

    x = 12 - 8

    x = 4

    Thus, Yumi should use 4 cups of candies and 8 cups of nuts.
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