1. The knitting club sold 40 scarves and hats at a winter festival and made $700 fromthe 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?
Accepted Solution
A:
Answer:[tex]s+h=40[/tex] and [tex]18s+14h=700[/tex].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 [tex]s+h=40[/tex]Also, they made $700 from the sales. They charged $18 for each scarf and $14 for each hat.So, we have[tex]18s+14h=700[/tex]Hence, the system of equations representing the constraints in this situation is [tex]s+h=40[/tex] and [tex]18s+14h=700[/tex].