Ask Question
12 August, 06:49

Nivyana and Ana are selling their apparel to earn money for a cruise. Knitted scarves are $50 each in Mittens are $25 per pair. they cannot make more than 30 scarves and mittens combined. I need to earn at least $1000 to pay for the Cruz and souvenirs

+5
Answers (1)
  1. 12 August, 07:01
    0
    The number of knitted scarves is 10

    The number of knitted mitten is 20

    Step-by-step explanation:

    Given as:

    The cost of each knitted scarves = $50

    The cost of pairs of mittens = $25

    Total number of scarves and mitten bought = 30

    The total money invested to pay for items = $1000

    Let The number of knitted scarves = k

    Let The number of mitten = m

    Now, According to question

    The total money invested to pay for items = cost of each knitted scarves * number of knitted scarves + cost of pairs of mittens * number of mitten

    i. e $1000 = $50 * k + $25 * m

    Or, 40 = 2 k + m

    i. e 2 k + m = 40 ... A

    And

    Total number of scarves and mitten bought = number of knitted scarves + number of mitten

    i. e k + m = 30 ... B

    Now, solving eq A and eq B

    So, (2 k + m) - (k + m) = 40 - 30

    Or, (2 k - k) + (m - m) = 10

    Or, k + 0 = 10

    ∴ k = 10

    So, The number of knitted scarves = k = 10

    Put the value of k into eq B

    ∵ k + m = 30

    So, m = 30 - k

    or, m = 30 - 10

    ∴ m = 20

    The number of knitted mitten = m = 20

    Hence, The number of knitted scarves is 10 and The number of knitted mitten is 20. Answer
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “Nivyana and Ana are selling their apparel to earn money for a cruise. Knitted scarves are $50 each in Mittens are $25 per pair. they cannot ...” in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers