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4 December, 10:06

jill bought 6 eating. utensils for a total of $21. spoons cost $3 and forks cost $4. how many of each eating utensil did she buy

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  1. 4 December, 10:11
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    The number of spoons bought by Jill is 3

    The number of forks bought by Jill is 3.

    Step-by-step explanation:

    Given as:

    The total number eating utensils bought by Jill = 6

    The total money spend on the utensils = $ 21

    The cost of each spoons = $ 3

    the cost of each forks = $ 4

    Let The number of spoons = s

    And The number of forks = f

    Now, According to question

    The total number eating utensils bought by Jill = The number of spoons + The number of forks

    I. e s + f = 6 ... A

    And The total money spend on the utensils = The cost of each spoons * The number of spoons + The cost of each forks * The number of forks

    Or, $ 21 = $ 3 * s + $ 4 * f ... B

    Or, 3 s + 4 f = 21

    Solving the equations

    I. e 4 * (s + f) - (3 s + 4 f) = (4 * 6) - 21

    or, 4 s + 4 f - 3 s - 4 f = 24 - 21

    or, (4 s - 3 s) + (4 f - 4 f) = 3

    Or, s + 0 = 3

    ∴ s = 3

    So, The number of spoons = s = 3

    Put the value of s in Eq A

    So, s + f = 6

    Or, 3 + f = 6

    ∴ f = 6 - 3

    I. e f = 3

    So, The number of forks = f = 3

    Hence The number of spoons bought by Jill is 3 and The number of forks bought by Jill is 3. Answer
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