The cost of 10 donuts and 2 cakes is the same. If the cost of 3 cakes and 5 donuts is $8, find the cost of a cake.

Question

The cost of 10 donuts and 2 cakes is the same. If the cost of 3 cakes and 5 donuts is $8, find the cost of a cake.

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Khải Quang 4 years 2021-09-03T05:51:52+00:00 1 Answers 11 views 0

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  1. Xavia
    0
    2021-09-03T05:53:21+00:00
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    Answer:

    $2

    Step-by-step explanation:

    Let the cost of a donut and a cake be $d and $c respectively.

    10d= 2c

    Dividing both sides by 2:

    5d= c —–(1)

    3c +5d= 8 —–(2)

    Substitute (1) into (2):

    3c +c= 8

    Simplify:

    4c= 8

    Divide both sides by 4:

    c= 8 ÷4

    c= 2

    ∴ The cost of a cake is $2.

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