Question

1. The knitting club sold 40 scarves and hats at a winter festival and made $700 from
the sales. They charged $18 for each scarf and $14 for each hat.
If s represents the number of scarves sold and h represents the number of hats sold,
which system of equations represents the constraints in this situation?​

Answer 1

Answer:

$s+h=40$ and $18s+14h=700$.

Step-by-step explanation:

Given: The knitting club sold 40 scarves and hats at a winter festival and made $700 from   the sales. They charged $18 for each scarf and $14 for each hat. Here, s represents the number of scarves sold and h represents the number of hats sold.

To find: System of equations representing the constraints in the given situation.

Solution:

We have, number of scarves sold as s, and  the number of hats sold as h.

It is given that The knitting club sold 40 scarves and hats.

So, we have $s+h=40$

Also, they made $700 from  the sales. They charged $18 for each scarf and $14 for each hat.

So, we have

$18s+14h=700$

Hence, the system of equations representing the constraints in this situation is  $s+h=40$ and $18s+14h=700$.

Answer 2

The system of equations represents the constraints in this situation are:

s + h = 40

$18s + $14h = $700

The above equations are known as simultaneous equations. 40 scarves and hats were sold, this can be represented with this equation:

number of hats sold + number of scarves sold = 40

s + h = 40

The total amount made from the sales is the sum of the total amount made from the sale of the hats and the total amount made from the sale of the scarves. This can be represented with this equation:

($18 x s) + ($14 x h)  = $700

To learn more about simultaneous equations, please check: brainly.com/question/23589883