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Mazyrski [523]
3 years ago
9

Brooke has to set up 70 chairs in equal rows for the class talent show. But, there is not room for more then 20 rows. What are t

he possible number of rows that Brooke could set up?
Mathematics
1 answer:
grin007 [14]3 years ago
7 0

Answer:

The answer is 2, 5, 7, 10, and 14.


Step-by-step explanation:

Let x be the number of rows. There is not room for more than 20 rows:

x ≤ 20


Since all rows must be equal, when we divide 70 by x, we must get a whole number. So, we must find all divisors of 70 smaller or equal to 20 and they are: 2, 5, 7, 10, and 14.

So, the possibilities are:

2 rows with 35 chairs in each row

5 rows with 14 chairs in each row

7 rows with 10 chairs in each row

10 rows with 7 chairs in each row

14 rows with 5 chairs in each row

Hope this helps!!


~CoCo

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Nivyana and Ana are selling their apparel to earn money for a cruise. Knitted scarves are $50 each in Mittens are $25 per pair.
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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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Answer:

Step-by-step explanation:

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