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8 August, 06:25

in the cafeteria all sandwich are priced the same in all drinks are priced the same a customer ordered three sandwiches and two drinks for $14.70 another customer bought two sandwiches and four drinks for $13.80 find the cost of one sandwich and the cost of one drink

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  1. 8 August, 06:46
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    Cost of 1 sandwich = $3.9

    Cost of 1 drink = $1.5

    Step-by-step explanation:

    Let us assume the cost of 1 sandwich = $ m

    And the cost of 1 drink = $ n

    Now, according to the question:

    Cost of 3 sandwich + 2 drink = $14.7

    ⇒ 3 m + 2 n = $14.7 ... (1)

    Cost of 2 sandwich + 4 drink = $13.8

    ⇒ 2 m + 4 n = $ 13.8 ... (2)

    Solving both equation, we get:

    Multiply (1) with - 2 and add both equations, we get:

    - 6 m - 4 n + 2 m + 4 n = 13.8 - 29.4

    or, - 4 m = - 15.6

    or, m = 3.9

    Put m = 3.9 in 3 m + 2 n = $14.7, we get:

    11.7 + 2 n = 14.7

    2 n = 3, or n = 1.5

    Hence, cost of 1 sandwich = $3.9

    and the cost of 1 drink = $1.5
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