Answer:
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
<u>Now, According to question</u>
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
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